Cheryl E Praeger’s Publications


Research

1970

  1. Note on a functional equation, Aeq. Math. 4, 353-357.

1973

  1. Sylow subgroups of transitive permutation groups, Math. Zeit.134, 179-180. doi: 10.1007/BF01214090

1974

  1. On the Sylow subgroups of a doubly transitive permutation group,Math. Zeit. 137, 155-171. doi: 10.1007/BF01214858

1975

  1. Sylow subgroups of finite permutation groups, Proc. second international conference on the theory of groups, Canberra, 1973, Ed. M.F.Newman, Lecture Notes in Mathematics 372, Springer, Berlin, Heidelberg, New York, 578-579.
  2. On the Sylow subgroups of a doubly transitive permutation group, II, Math. Zeit. 143, 131-143. DOI: 10.1007/BF01187055
  3. On the Sylow subgroups of a doubly transitive permutation group, III, Bull. Austral. Math. Soc. 13, 211-240.
  4. Primitive permutation groups containing a p-element of small degree, p a prime, J. Algebra 34, 540-546.

1976

  1. Primitive permutation groups containing a p-element of small degree, p a prime, II, J. Algebra 42, 278-293. doi: 10.1016/0021-8693(76)90041-7
  2. Note on primitive permutation groups of prime power degree, J. London Math. Soc. (2) 13, 191-192.
  3. On the fixed points of Sylow subgroups of transitive permutation groups (with Marcel Herzog), J. Austral. Math. Soc. 21, 428-437.
  4. Minimal degree of primitive permutation groups (with Marcel Herzog), in Combinatorial Mathematics IV, Adelaide 1975, Ed. L.R.A.Casse and W.D.Wallis, Lecture Notes in Mathematics 560, Springer, Berlin, Heidelberg, New York, 116-122.
  5. Doubly transitive permutation groups involving the one- dimensional projective special linear group, Bull. Austral. Math. Soc. 14, 349-358.
  6. On the order of linear groups of fixed finite exponent (with Marcel Herzog), J. Algebra 43, 216-220.

1977

  1. Sylow subgroups of transitive permutation groups, II, J. Austral. Math. Soc. 23, 329-332.
  2. Doubly transitive permutation groups which are not doubly primitive , J. Algebra 44, 389-395.
  3. Doubly transitive permutation groups in which the one-point stabilizer is triply transitive on a set of blocks, J. Algebra 47, 433-440.
  4. On partially transitive projective planes of certain Hughes' types (with A. Rahilly), in Group Theory, Canberra 1975, Ed. A. Dold and B. Eckmann, Lecture Notes in Mathematics 573, Springer, Berlin, Heidelberg, New York, 85-111.
  5. On character values in finite groups (with Marcel Herzog), Bull. Austral. Math. Soc. 17, 451-461.

1978

  1. On the fixed points of Sylow subgroups of transitive permutation groups, corrigendum (with Marcel Herzog), J. Austral. Math. Soc. (A)26, 383-384.
  2. Doubly transitive automorphism groups of block designs, J. Combinatorial Theory (A) 25, 258-266.
  3. On doubly transitive permutation groups, Bull. Austral. Math. Soc.18, 465-473.
  4. On the normal structure of a one-point stabilizer in a doubly transitive permutation group (with M.D.Atkinson), J. Austral. Math. Soc. (A)25, 145-166.
  5. Direct factors of Sylow groups (with Marcel Herzog), Comm. in Algebra6 (13), 1375-1382.
  6. On primitive permutation groups with a doubly transitive suborbit, J. London Math. Soc. (2) 17, 67-73.
  7. Elements of prime order in primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 143-150.
  8. Doubly transitive but not doubly primitive permutation groups, in Seminar on permutation groups and related topics, Ed. T. Tsuzuku, Kyoto University, 151-153.

1979

  1. On characters in the principal 2-block, II (with Marcel Herzog),J. Austral. Math. Soc. (A) 28, 100-106.
  2. On elements of prime order in primitive permutation groups, J. Algebra60, 126-157.
  3. On fixed points in paired suborbits (with Jan Saxl), Arch. der Math.33, 325.

1980

  1. On the orders of primitive permutation groups (with Jan Saxl), Bull. London Math. Soc. 12, 303-307.
  2. Symmetric graphs and a characterisation of the Odd graphs, in Combinatorial Mathematics VII, Ed. R. W. Robinson, G.W. Southern, and W.D.Wallis,Lecture Notes in Mathematics 829, Springer, Berlin, Heidelberg, New York, 211-219.
  3. Note on primitive permutation groups and a diophantine equation (with J.D.Henstridge), Discrete Math. 31, 181-183.

1981

  1. Primitive permutation groups and a characterisation of the Odd graphs, J. Combinatorial Theory (B) 31, 117-142.
  2. Designs from finite groups (with Anne Penfold Street), Congressus Numerantium31, 165-185.

1982

  1. Graphs and permutation groups with projective subconstituents (with P.J. Cameron), J. London Math. Soc. (2) 25, 62-74.
  2. Graphs and their automorphism groups, in Algebraic Structures and their Applications, Ed. P.Schultz, C.E.Praeger, R.P.Sullivan, Lecture notes in pure and applied math. 74, Marcel Dekker, New York, 21-32.
  3. When are symmetric graphs characterized by their local properties? in Combinatorics IX, Lecture Notes in Mathematics 952, Springer, Berlin, Heidelberg, New York, 123-141.

1983

  1. Some remarks on the permanents of circulant (0,1) matrices (with P.Eades and J.R.Seberry), Utilitas 23, 145-159.
  2. Generalized wreath products of permutation groups (with R.A.Bailey, C.A.Rowley, and T.P.Speed), Proc. London Math. Soc. (3)47, 69-82.
  3. On 2-arc transitive graphs of girth 4 (with P.J.Cameron), J. Combinatorial Theory (B) 35, 1-11.
  4. On the Sims' conjecture and distance transitive graphs (with P.J. Cameron, G.M. Seitz, and J. Saxl),Bull. Lond. Math. Soc. 15, 499-506.
  5. On the automorphisms of rooted trees with height distributions (with P.Schultz), in Combinatorial Mathematics X, Lecture Notes in Mathematics 1036, 319-334.
  6. Twills with bounded float length (with J.A.Hoskins and A.P.Street),Bull. Austral. Math. Soc. 28, 255-282.
  7. Balanced twills with bounded float length, (with J.A.Hoskins and A.P.Street), Congressus Numerantium 40, 77-89.
  8. Finite simple groups and finite primitive permutation groups,Bull. Austral. Math. Soc. 28, 355-366.
  9. Characterization of some sparse binary sequential arrays, (with A.P.Street), Aequationes Math. 26, 54-58.

1984

  1. On transitive permutation groups with a subgroup satisfying a certain conjugacy condition, J. Austral. Math. Soc. (A) 36, 69-86.
  2. Symmetric graphs and the classification of the finite simple groups, in Groups Korea 1983, Lecture Notes in Mathematics 1098, Springer, Berlin, Heidelberg, New York, 99-110.

1985

  1. Fixed-point-free permutations in transitive permutation groups of prime-power order, (with P.J. Cameron, L.G. Kovacs, and M.F. Newman), Quarterly J. Math. Oxford(2) 36, 273-278. doi:10.1093/qmath/36.3.273
  2. Imprimitive symmetric graphs, Ars Combinatoria 19-A, 149-163.
  3. Enumeration of rooted trees with a height distribution, (with P. Schultz and N.C.Wormald), Ars Combinatoria 19-A, 191-204.
  4. A note on generalized wreath product groups, (with C.A.Rowley and T.P.Speed), J. Austral. Math. Soc.(A) 39, 415-420.

1986

  1. Distance transitive graphs of valency six, (with A. Gardiner), Ars Combinatoria21-A, 195-210.

1987

  1. Sequential binary arrays and circulant matrices, (with C.K.Nilrat), J. Austral. Math. Soc.(A) 42, 330-348.
  2. Distance transitive graphs and finite simple groups, (with J.Saxl and K.Yokoyama), Proc. London Math. Soc.(3) 55, 1-21.
  3. Distance transitive graphs of valency five, (with A.Gardiner), Proc. Edinburgh Math. Soc. 30, 73-82.
  4. Distance transitive graphs with symmetric or alternating automorphism group (with M. W. Liebeck and J. Saxl), Bull. Austral. Math. Soc. 35, 1-26.
  5. On automorphism groups of imprimitive symmetric graphs, Ars Combinatoria23A, 228-247.
  6. A classification of the maximal subgroups of the finite alternating and symmetric groups, (with M.W.Liebeck and J.Saxl), J. Algebra 111, 365-383.
  7. Optimal worst case trees, (with E.A. Bender and N. C. Wormald), Acta Informatica 24, 475-489.
  8. On maximal subgroups and maximal factorizations of almost simple groups, (with M. W. Liebeck and J. Saxl), in Proceedings of the Arcata Conference on Representation Theory, Arcata, 1986, Proc. Symp. Pure Math. 47, 449-454.

1988

  1. On the O'Nan Scott Theorem for primitive permutation groups (with M.W.Liebeck and J.Saxl), J. Austral. Math. Soc. (A) 44, 389-396.
  2. On the 2-closures of primitive permutation groups, (with M.W.Liebeck and J. Saxl), J. London Math. Soc. 37, 241-252.
  3. Primitive permutation groups with doubly transitive subconstituents, J. Austral. Math. Soc.(A). 45, 66-77.
  4. Complete Latin squares: terraces for groups, (with C.K. Nilrat),Ars Combinatoria 25, 17-29.
  5. Covering subgroups of groups and Kronecker classes of fields, J. Algebra118, 455-463..
  6. On minimal faithful permutation representations of finite groups, (with D.Easdown),Bull. Austral. Math. Soc. 38 , 207-220.
  7. Directed terraces for direct product groups, (with R.A.Bailey), Ars Combinatoria 25A, 73-76.
  8. Inflations of graphs with large automorphism groups, Ars Combinatoria26A, 171-192.

1989

  1. A characterization of a class of symmetric graphs of twice prime valency (with Ming-yao Xu), European J. Combinatorics 10, 91-102.   (announcement in  Advances in Math. 16(1987), 222-223.)
  2. On octic field extensions and a problem in group theory, in Group Theory, Proceedings of the 1987 Singapore Conference, Ed. by K.N.Cheng and Y.K.Leong, de Gruyter, Berlin, New York, 443-463.
  3. Finite permutation groups with large abelian quotients, (with L.G.Kovacs), Pacific J. Math. 136, 283-292.
  4. A note on group Latin squares, J. Combinatorial Math. and Combinatorial Computing 5, 41-42.
  5. Inversive planes of odd order, (with P.H.Fisher, T.Penttila, and G.F.Royle), European J. Combinatorics 10, 331-336.
  6. Highly arc transitive digraphs, European J. Combinatorics10, 281-292.
  7. Constructing the vertex transitive graphs of order 24, (with G.F.Royle), J. Symbolic Computation 8, 309-326.

1990

  1. Block-transitive designs and maximal subgroups of finite symmetric groups, Australas. J. Combin. 1, 193-205.
  2. The inclusion problem for finite primitive permutation groups, Proc. London Math. Soc.60, 68-88.
  3. Subgroups of finite symmetric groups, Advances in Math., Beijing 19, 1-11.
  4. Finite primitive permutation groups: a survey, in Groups - Canberra, Lecture Notes in Mathematics 1456, Springer-Verlag, Berlin, Heidelberg, New York, 63-84; translated into Chinese by K. P. Shum, and published by Academia Sinica, Beijing, China, pp 282-293.
  5. Maximal subgroups of infinite symmetric groups, (with H. D. Macpherson), J. London Math. Soc. (2) 42, 85-92.

1991

  1. On homomorphic images of edge-transitive directed graphs, Australas. J. Combin.3, 207-210.
  2. Stabilizers of hyperovals in PG(2,32), (with C.M. O'Keefe and T. Penttila), in Advances in Finite Geometries and Designs, ed. J.W.P. Hirschfeld, D.R. Hughes and J.A. Thas, O.U.P., 337-351.
  3. Kronecker classes of field extensions of small degree, J.Austral. Math. Soc(A) 50, 297-315.
  4. On minimal symmetric automorphism groups of finite symmetric graphs, Australas. J. Combin.4, 237-252.
  5. Balanced directed cycle designs based on groups, Discrete Math.92, 275-290.
  6. On permutation groups with bounded movement, J. Algebra 144, 436-442.
  7. Small squaring and cubing properties for finite groups, (with Ya. G. Berkovich and G.M. Freiman), Bull. Austral. Math. Soc.50, 297-315.
  8. Computing with group homomorphisms, (with C. Leedham-Green and L. Soicher), J. Symbolic Computation 12, 527-532.
  9. Groups and designs, Proc. Asian Mathematical Conference, 1990, ed. by Li Zhong, K.P. Shum, C.C.Yang and Yang Le, World Scientific, Singapore, 363-372.

1992

  1. Closures of finite primitive permutation groups, (with J. Saxl),Bull. London Math. Soc. 24, 251-258.
  2. Closures of finite permutation groups and relation algebras, in Groups, Combinatorics and Geometry, Eds. M. W. Liebeck and J. Saxl, London Math. Soc. Lecture Series 165, Cambridge University Press, Cambridge, pp 368-379.
  3. The Loewy length of the Jacobson radical of a bounded endomorphism ring, (with P.Schultz), in Abelian Groups and Noncommutative Rings: a Collection of papers in memory of Robert B. Warfield Jr., Eds. L. Fuchs and K. R. Goodearl, J. T. Stafford and C. Vinsonhaler, Contemp. Math. 130, 349-360.
  4. Concerning multiplier automorphisms of cyclic Steiner triple systems, (with C.J.Colbourne, E. Mendelsohn and V. D. Tonchev), Designs, Codes and Cryptography 2, 237-251.
  5. The block-transitive, point-imprimitive 2-(729,8,1) designs, (with W. Nickel, A. Niemeyer, C. M. O'Keefe, and T. Penttila), Applicable Algebra in Eng., Comm. and Comp. 3, 47-61.
  6. Partitioning into Steiner systems, (with P.J. Cameron), in Combinatorics'88: Proceedings of the International Conference on Incidence Geometries and Combinatorial Structures, (Eds. A. Barlotti, G. Lunardon, F. Mazzocca, N. Melone, D. Olanda, A. Pasini, G. Tallini), 1st Volume, Mediterranean Press, pp 61-71.
  7. A recognition algorithm for special linear groups, (with P.M. Neumann), Proc. London Math. Soc.(3) 65, 555-603.
  8. Relation algebras and finite permutation groups, (with M.W. Liebeck), J. London Math. Soc.(2) 45, 433-445.
  9. Affine distance transitive groups with alternating or symmetric point stabilizer, (with M.W. Liebeck), European J. Combin. 13, 489-501.

1993

  1. Block-transitive, point-imprimitive designs with lambda = 1, (with C. M. O'Keefe and T. Penttila), Discrete Math. 115, 231-244.
  2. Finite vertex transitive graphs and primitive permutation groups, in Coding Theory, Design Theory, Group Theory, (Proceedings of the Marshall Hall Conference) (Eds: D. Jungnickel and S. A. Vanstone), Wiley, New York, pp 51-65.
  3. On a reduction theorem for finite, bipartite, 2-arc transitive graphs, Australas. J. Combin. 7, 21-36.
  4. Line-transitive automorphism groups of linear spaces, (with A. Camina), Bull. London Math. Soc. 25, 309-315.
  5. Symmetric graphs of order a product of two distinct primes, (with R.J. Wang and M.Y.Xu), J. Combin. Theory (B) 58, 299-318.
  6. An O'Nan-Scott Theorem for finite quasiprimitive permutation groups, and an application to 2-arc transitive graphs, J. London Math. Soc.(2) 47, 227-239.
  7. On finite affine 2-arc transitive graphs, (with A. A. Ivanov), European J. Combin. 14, 421-444.
  8. Permutation group subdegrees and the common divisor graph, (with I.M.Isaacs), J. Algebra 159, 158-175.
  9. Computation with matrix groups over finite fields, in Groups and Computation (Ed. by L. Finkelstein and W. M. Kantor) DIMACS Series in Discrete Math. and Theoretical Computer Science 11, 189-195.
  10. Block-transitive t-designs, I: point-imprimitive designs, (with P. J. Cameron), Discrete Math. 118, 33-43.
  11. Half-regular symmetric designs, (with A. Rahilly, D. Bryant and A. P. Street), Australas. J. Combin.8, 1-26.
  12. Vertex primitive graphs of order a product of two distinct primes, (with M.Y.Xu), J. Combinatorial Theory (B) 59, 245-266.
  13. Block-transitive t-designs, II: large t, (with P.J. Cameron), in Finite Geometry and Combinatorics edited by F. De Clerk et al, London Math. Soc. Lecture Note Series 191, Cambridge University Press, Cambridge, 1993, pp. 103-119.
  14. Infinite highly arc transitive digraphs and universal covering digraphs, (with P.J. Cameron and N.C. Wormald), Combinatorica 13, 377-396.

1994

  1. Non-Cayley, vertex transitive graphs of order twice the product of two distinct odd primes, (with A. A. Miller), J. Alg. Combin.3, 77-111.
  2. Maximal subgroups of infinite symmetric groups, (with M.Brazil, J.Covington, T. Penttila and A.R.Woods), Proc. London Math. Soc. (3) 68, 77-111.
  3. Vertex-transitive graphs which are not Cayley graphs, I, (with B.D.McKay), J. Austral. Math. Soc.(A) 56, 53-63.
  4. Infinitary versions of the O'Nan-Scott theorem, (with H.D.Macpherson), Proc. London Math. Soc.(3) 68, 518-540.
  5. A characterisation of certain finite alternating and symmetric groups, (with Wujie Shi), Comm. Alg. 22(5), 1507-1530. Doi: 10.1080/00927879408824920
  6. Most abelian p-groups are determined by the Jacobson radical of their endmorphism rings, (with Jutta Hausen and Phillip Schultz), Math. Zeit. 216, 431-436.
  7. Transitive permutation groups with bounded movement, (with A. Gardiner), J. Algebra 168, 798-803.
  8. Kronecker classes of fields and covering subgroups of finite groups, J. Austral. Math. Soc. (A) 57, 17-34.
  9. On 4-valent symmetric graphs, (with A. Gardiner), European J. Combin.15, 375-381.
  10. A characterisation of certain families of 4-valent symmetric graphs, (with A. Gardiner), European J. Combin. 15, 383-397.

1995

  1. Balanced directed cycle designs based on cyclic groups, (with C. Nilrat), J. Austral. Math. Soc.(A) 58, 210-218.
  2. Orbit lengths of permutation groups, and group rings of locally-finite simple groups of alternating type, (with A. Zalesskii), Proc. London Math. Soc. (3) 70, 313-335.
  3. Cycle types forbidden in infinite primitive permutation groups, (with H. D. Macpherson), J. Algebra 175, 212-240.
  4. The separation theorem for group actions, in Ordered groups and infinite permutation groups, Ed: W. Charles Holland, Kluwer, Dordrecht, Boston, London, pp. 195-219.
  5. A geometrical approach to imprimitive symmetric graphs, (with A. Gardiner), Proc. London Math. Soc. (3) 71, 524-546.
  6. Restricted movement for intransitive group actions, in Groups-Korea '94, Eds: A. C. Kim and D. Johnson, de Gruyter, Berlin, New York, pp. 267-275.
  7. Constructions of 2-arc transitive directed graphs,(with M. Conder and P. Lorimer) J. Austral. Math. Soc (A) 59, 61-80.
  8. Subsets close to invariant subsets for group actions, (with Leonid Brailovsky and Dmittri Pasechnik), Proc. Amer. Math. Soc.123, 2283-2295.
  9. Cyclic matrices over finite fields, (with P. M. Neumann), J. London Math. Soc. 52, 263-284.

1996

  1. On the characterisation of AG(n,q) by its parameters as a nearly triply regular design, (with Arlene A. Pascasio and Blessilda Raposa), Designs, Codes and Cryptography 8, 173-179.
  2. Ovoids and monomial ovals,(with D.G.Glynn, C.M.O'Keefe, and T.Penttila), Geom. Ded.. 59, 223-241.
  3. On primitive representations of finite alternating and symmetric groups with a 2-transitive subconstituent, (with Jie Wang), J. Algebra180, 808-833.
  4. Transitive permutation groups of minimal movement, (with A. Mann), J. Algebra 181, 903-911.
  5. Remarks on path-transitivity in finite graphs, (with M. D. E. Conder), European J. Combin. 17, 371-378.
  6. The finite simple groups with at most two fusion classes of every order (with Cai Heng Li), Comm. Alg. 24, 3681-3704.
  7. An inequality for tactical configurations (with P. M. Neumann), Bull. London Mathematical Society 28, 471-475.
  8. Vertex-transitive graphs that are not Cayley graphs, II, (with B.D.McKay), J. Graph Theory 22, 321-334.
  9. Classification of 2-quasi-invariant sets, (with L. Brailovsky and D. V. Pasechnik), Ars Combin. 42, 65-76.
  10. Non-symmetric nearly triply regular designs, (with Blessilda Raposa), Discrete Math. 151, 201-212.
  11. On factorisations of almost simple groups, (with M. W. Liebeck and J. Saxl), J. Algebra 185, 409-419.
  12. On block-transitive designs with affine automorphism group, (with R. Mathon), J. Statist. Planning and Inference 56, 203-221.

1997

  1. Antipodal distance transitive covers of complete bipartite graphs, (with A. A. Ivanov, R. Liebler and T. Penttila), European J. Combin. 18, 11-34.
  2. Implementing a recognition algorithm for classical groups, (with A. Niemeyer), in Groups and Computation II, Eds: Larry Finkelstein and William M. Kantor, DIMACS series in Discrete Math. and Theoretical Computer Science 28, 273-296.
  3. Finite transitive permutation groups and finite vertex-transitive graphs, (with the assistance of Cai Heng Li and Alice C. Niemeyer), in Graph Symmetry: Algebraic Methods and Applications, NATO ASI Ser.C 497, pp. 277-318. doi: 10.1007/978-94-015-8937-6_7
  4. Finite quasiprimitive graphs, in Surveys in Combinatorics, 1997, Ed: R. A. Bailey, London Math. Soc. Lecture Note Series 241, Cambridge University Press, Cambridge, pp. 65-85.
  5. On the distance between distinct group Latin squares, (with D. Donovan and S. Oates-Williams), J. Combin. Designs 5, 235-248.
  6. Partition graphs for finite symmetric groups, (with Margaret Morton and Marston Conder), J. Graph Theory 25, 107-117.
  7. Finite groups in which any two elements of the same order are either fused or inverse-fused, (with Cai Heng Li), Comm. Alg. 25, 3081-3118.
  8. Ovoids and translation ovals, (with T. Penttila), J. London Math. Soc. (2) 56, 607--624.
  9. Movement and separation of subsets of points under group actions, J. London Mathematical Society (2) 56, 519--528.
  10. Polygonal graphs: new families and an approach to their analysis, (with M. Perkel), Congressus Numerantium 124, 161--173.

1998

  1. On locally projective graphs of girth 5, (with A. A. Ivanov), J. Alg. Combin. 7, 259-283.
  2. On orbital regular graphs and Frobenius graphs, (with X. G. Fang and C. H. Li), Discrete Math. 182, 85-99. (In Editor's Choice Discrete Mathematics, 1998, http://www.elsevier.com/locate/disc)
  3. On finite groups with the Cayley isomorphism property, (with Cai Heng Li and Ming Yao Xu), J. Graph Theory 27, 21-31.
  4. On classifying all full factorisations and multiple-factorisations of the finite almost simple groups, (with Robert W. Baddeley), J. Algebra204, 129--187.
  5. Topological covers of complete graphs, (with A. Gardiner). Math. Proc. Cambridge Philos. Soc. 123, 549--559.
  6. On graphs admitting arc-transitive actions of almost simple groups, (with Xin Gui Fang), J. Algebra 205, 37--52.
  7. A recognition algorithm for classical groups over finite fields, (with A. Niemeyer), Proc. London Math. Soc. (3) 77, 117--169.
  8. Antipodal distance transitive covers of complete graphs,  (with C. D. Godsil, and R. A. Liebler),  European J. Combin.19, 455--478.
  9. Isomorphisms of finite Cayley digraphs of bounded valency, (with Cai Heng Li and Ming Yao Xu), J. Combin. Theory (B)  73, 164--183.
  10. On vertex-imprimitive graphs of order a product of three distinct odd primes, (with Akbar Hassani and Mohammad Ali Iranmanesh), J. Combin. Math. and Combin. Computing 28, 187--213.
  11. Derangements and eigenvalue-free elements in finite classical groups, (with P. M. Neumann), J. London Math. Soc. (2) 58, 564--586.

1999

  1. Linear groups with orders having certain large prime divisors, (with R. Guralnick, T. Penttila, and J. Saxl), Proc. London Math. Soc. (3) 78, 167--214.
  2. Primitive prime divisor elements in finite classical groups, in Groups St Andrews 1997 in Bath, II, Eds: C. M.  Campbell, E. F. Robertson, N. Ruskuc and G. C. Smith, London Math. Soc. Lecture Note Series 261, 605--623. Chapter DOI: 10.1017/CB09780511666148.024
  3. On the isomorphism problem for finite Cayley graphs of bounded valency, (with Cai Heng Li), European J. Combin. 20, 279--292.
  4. Transitive permutation groups with bounded movement having maximal degree, (with A. Hassani, M. Khayaty, and E. I. Khukhro), J. Algebra 214, 317--337.
  5. Tetravalent graphs admitting half-transitive group actions: alternating cycles, (with D. Marusic), J. Combin. Theory (B) 75, 188--205.
  6. The maximal number of orbits of a permutation group with bounded movement, (with Jung R. Cho and Pan Soo Kim), J. Algebra 214, 625--630.
  7. On the movement of a permutation group, (with Peter M. Neumann),J. Algebra 214, 631--635.
  8. On transitive permutation groups with primitive subconstituents, (with Dmitrii V. Pasechnik), Bull. London Math. Soc. 31, 257--268.
  9. Finite two-arc transitive graphs admitting a Suzuki simple group, (with Xin Gui Fang), Comm. Alg. 27, 3727--3754.
  10. Finite two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang), Comm. Alg. 27, 3755--3769.
  11. A recognition algorithm for non-generic classical groups over finite fields, (with Alice C. Niemeyer), J. Austral. Math. Soc. (A)67, 223--253.
  12. Finite normal edge-transitive Cayley graphs, Bull. Austral. Math. Soc. 60, 207--220. doi: 10.1017/S0004972700036340
  13. On the automorphism groups of quasiprimitive almost simple graphs, (with Xin Gui Fang and George Havas), J. Algebra 222,271-283.
  14. Completely transitive codes in Hamming graphs, (with Michael Giudici), European J. Combin. 20, 647--661.
  15. Two-arc transitive graphs admitting a two-dimensional projective linear group, (with A. Hassani and L. Nochefranca), J. Group Theory2, 335--353.

2000

  1. On the Weiss Conjecture for finite locally-primitive graphs, (with Marston D. Conder and Cai Heng Li), Proc. Edinburgh Math. Soc.43, 129-138.
  2. Finite quasiprimitive group actions on graphs and designs, in Groups - Korea '98, Eds: Young Gheel Baik, David L. Johnson, and Ann Chi Kim, de Gruyter, Berlin and New York, pp. 319-331.
  3. On minimal faithful permutation representations of finite groups, (with L. G. Kovacs), Bull. Austral. Math. Soc. 62, 311-317.
  4. Vertex-primitive groups and graphs of order twice the product of two distinct odd primes, (with Greg Gamble), J. Group Theory 3, 247-269.
  5. A class of finite symmetric graphs with 2-arc transitive quotients, (with Cai Heng Li and Sanming Zhou), Math. Proc. Cambridge Philos. Soc. 129, 19-34.
  6. Cyclic matrices in classical groups over finite fields, (with P. M. Neumann), J. Algebra. 234, 367-418.
  7. Transitive subgroups of primitive permutation groups, (with M. W. Liebeck and J. Saxl), J. Algebra 234, 291-361.

2001

  1. Locally primitive Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), Science in China (Series A) 44, 58-66. (Version in Chinese appears in Science in China (Series A) 30(2000), 700-706.
  2. On non-Cayley vertex-transitive graphs of order a product of three primes, (with Mohammad A. Iranmanesh), J. Combin. Theory (B) 81, 1-19. doi: 10.1006/jctb.2000.1985
  3. Cyclic matrices and the meataxe, (with Peter M. Neumann), in Groups and Computation III, Eds: William M. Kantor, Akos Seress, Ohio State University Mathematical Institute Publications Volume 8,  Walter de Gruyter, Berlin, pp.291-300.
  4. Line-transitive, point-quasiprimitive automorphism groups of finite linear spaces are affine or almost simple, (with Alan Camina), Aequationes. Math. 61, 221-232.
  5. On narrow 6-gonal graphs with a triply transitive suborbit, (with M. Perkel and R. Weiss), J. Alg. Combin. 13, 257-273.
  6. Computers in algebra: new answers, new questions,  J. Korean Mathematical Society 38, 763-780.
  7. Implications of line-transitivity for designs, in Finite Geometries: proceedings of the Fourth Isle of Thorns Conference, Eds: A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel and J. A. Thas, Developments in Mathematics, Volume 3, Kluwer, Dordrecht, 2001, pp. 305-317.
  8. Complexity and computation in matrix groups, (with Alice C. Niemeyer),  in Aspects of complexity. Eds: Rod Downey and Denis Hirschfeldt, de Gruyter Series in Logic and its Applications, Volume 4, de Gruyter, Berlin, pp. 87-113.
  9. Bounds on finite quasiprimitive permutation groups, (with Aner Shalev), J Austral. Math. Soc. 71, 243-258.
  10. Cross-ratio graphs, (with A. Gardiner and Sanming Zhou), J. London Math. Soc. 64, 257-272.
  11. Self-complementary vertex-transitive graphs need not be Cayley graphs, (with Cai Heng Li), Bull. London Math. Soc. 33,  653-661.

2002

  1. Primitive permutation groups with a common suborbit, and edge-transitive  graphs, (with M.W. Liebeck and J. Saxl), Proc. London Math. Soc.84,  405-438.
  2. Finite locally-quasiprimitive graphs, (with Cai Heng Li, Akshay Venkatesh and Sanming Zhou), Discrete Math 246, 197-218.
  3. Permutation groups and normal subgroups,  Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures.  Eds: Li, Ta Tsien et al., Beijing: Higher Education Press. 67-76.
  4. Factorisations of characteristically simple groups, (with Csaba Schneider), J. Algebra 255, 198-220.
  5. Permutations  with  restricted cycle  structure  and an  algorithmic application, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), Combinatorics, Probability and Computing 11, 447-464.
  6. Finding optimal routings in Hamming graphs, (with Tian Khoon Lim), European J. Combin. 23, 1033-1041.
  7. On the automorphism groups of Cayley graphs of finite simple groups, (with Xin Gui Fang and Jie Wang), J. London Math. Soc. (2)66, 563--578.
  8. Constructing homogeneous factorisations of complete graphs and digraphs, (with Cai Heng Li), Graphs and Combinatorics 18, 757-761.

2003

  1. On partitioning the orbitals of a transitive permutation group, (with Cai Heng Li), Trans. Amer. Math. Soc.  355,637-653.
  2. On transitive Cayley graphs of groups and semigroups, (with Andrei Kelarev), European J. Combin. 24, 59-72.
  3. Quasiprimitivity: structure and combinatorial applications, Discrete Math. 264, 211-224.
  4. Inequalitites involving the Delandtsheer-Doyen parameters for finite line-transitive linear spaces, (with Ngo Dac Tuan), J. Combin. Theory (A)  102, 38-62.
  5. Ordered triple designs and wreath products of groups, (with Csaba Schneider), in IMS Lecture Notes -- Monograph Series, Volume 40, Science and Statistics: A Festschrift for Terry Speed, Ed: Darlene R. Goldstein, 103-113.
  6. Two-arc closed subsets of graphs, (with Marston Conder and Margaret Morton), J. Graph Theory 42, 350-364.
  7. A black-box algorithm for recognising finite symmetric and alternating groups, I, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), Trans. Amer. Math. Soc. 355, 2097-2113.
  8. On primitive overgroups of quasiprimitive permutation groups, (with Robert W. Baddeley), J. Algebra 263, 294--344.
  9. Alternating groups acting on finite linear spaces, (with Alan R. Camina and Peter M. Neumann). Proc. London Math. Soc.(3) 87, 29-53.
  10. Overgroups of finite quasiprimitive permutation groups, in Groups, Combinatorics and Geometry: Durham 2001, World Scientific, Singapore. Eds: A. A. Ivanov, M. W. Liebeck and J. Saxl, pp. 233-241.
  11. Quotients and inclusions of finite quasiprimitive permutation groups, J. Algebra. 269, 329-346.
  12. On a theorem of Wielandt for finite primitive permutation groups , (with Anton Betten, Anne Delandtsheer and Alice C. Niemeyer), J. Group Theory 6, 415-420.
  13. Three-star permutation groups, (with Peter M. Neumann), Illinois J. Math. 47, 445-452. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
  14. Finite transitive permutation groups and bipartite vertex-transitive graphs, Illinois J. Math. 47, 461-475. Also published by the Illinois Journal in The mathematical legacy of Reinhold Baer (January 2004, 586pp., ISBN 0-9746986-0-1).
  15. Finite line-transitive linear spaces: parameters and normal point-partitions, (with Anne Delandtsheer and Alice. C. Niemeyer), Advances in Geometry 3, 469-485.

2004

  1. Analysing finite locally s-arc transitive graphs, (with Michael Giudici and Cai Heng Li), Trans. Amer. Math. Soc356, 291-317.
  2. On tensor factorisation problems, I: the combinatorial problem, (with Peter M.Neumann), LMS J. Comput. Math. 7, 73-100.
  3. Finite permutation groups with a transitive minimal normal subgroup, (with John Bamberg) Proc. London Math. Soc (3) 89,  71-103.
  4. Identifying Cartesian decompositions preserved by transitive permutation groups (with Robert W. Baddeley and Csaba Schneider), Algebra Colloquium 11, 1-10.
  5. Transitive simple subgroups of wreath products in product action, (with Robert W. Baddeley and Csaba Schneider). J. Austral. Math Soc. 77, 55-72.
  6. Finite symmetric graphs, in Algebraic Graph Theory, Eds: Lowell W. Beineke and Robin J. Wilson. Encyclopedia of Mathematics and its Applications 102, Cambridge University Press, Cambridge. Chapter 7, pages 179-202.
  7. The locally two-arc transitive graphs admitting a Ree simple group, (with Xin Gui Fang an Cai Heng Li) , J. Algebra 282, 638-666.
  8. On orbital partitions and exceptionality of primitive permutation groups, (with R. M. Guralnick, Cai Heng Li and J. Saxl), Trans. Amer. Math. Soc. 356, 4857-4872.

2005

  1. Some locally 3-arc transitive graphs constructed from triality (with Michael Giudici and Cai Heng Li), J Algebra 285, 11-28.
  2. Finite symmetric graphs with two-arc transitive quotients, (with Mohammad A. Iranmanesh and Sanming Zhou), J. Combin. Theory Series B. 94, 79-99.
  3. Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules, (with Robert Beals, Charles R.  Leedham-Green, Alice C. Niemeyer, and Akos Seress), J. Algebra 292, 4-46.
  4. Generalised sifting in black-box groups, (with Sophie Ambrose, Max Neunhoeffer and Csaba Schneider) LMS Journal of Computation and Mathematics 8, 217-250.
  5. Permutation groups, simple groups and sieve methods, (with D.R. Heath-Brown and Aner Shalev), Israel J. Math 148, 347-375.
  6. A search algorithm for line-transitive, point-imprimitive linear spaces, (with Anton Betten, Greg Cresp, and Alice C. Niemeyer), Bayreuther Mathematische Schriften 74, 42-57. Editors: A. Kerber, A. Kohnert: ALCOMA'05. Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes (April 3-10, 2005, Thurnau).

2006

  1. Homogeneous factorisations of graphs and digraphs, (with M. Giudici, C. H. Li, and P Potocnik),  European J. Combin. 27,11-37.
    (This paper was ranked number 1 in the TOP25 Hottest Articles downloaded in the period October-December 2005 within the European Journal of Combinatorics.)
  2. Locally 2-arc transitive graphs, homogeneous factorizations and partial linear spaces, (with M. Giudici and C. H. Li), J. Combin. Designs 14, 139-148.
  3. Innately transitive subgroups of wreath products in product action, (with Robert W. Baddeley and Csaba Schneider), Trans. Amer. Math. Soc. 358, 1619-1641.
  4. Seminormal and subnormal subgroup lattices for transitive permutation groups, J. Australian Math. Soc. 80, 45-63.
  5. Limits of vertex-transitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov), Contemporary Math. 402. Eds: Z. Arad, M. Bianchi, W. Herfort, P. Longobardi, M. Maj and C. Scoppola. pp. 159-170.
  6. On minimal subdegrees of finite primitive permutation groups, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov). in: Finite Geometries, Groups, and Computation. Eds. A. Hulpke, R. Liebler, T. Penttila, A. Seress. DeGruyter. Berlin, New York. pp. 75-94.
  7. Locally s-arc transitive graphs with two different quasiprimitive actions, (with Michael Giudici and Cai Heng Li) J. Algebra 299, 863-890.
  8. A reduction algorithm for large-base primitive permutation groups, (with Maska Law, Alice Niemeyer and Akos Serress), LMS J. Comput. Math. 9, 159-173.
  9. On the frequency of permutations containing  a long cycle, (with Alice C. Niemeyer) J. Algebra 300, 289-304.
  10. Imprimitive flag-transitive symmetric designs, (with Shenglin Zhou) J.Combin. Theory, Series A 113, 1381-1395.
  11. Characterising finite locally s-arc transitive graphs with a star normal quotient, (with M. Giudici and C. H. Li) J. Group Theory 9,641-658.
  12. The k-star property for permutation groups, (with Rosemary Clough and Csaba Schneider), Thai Journal of Mathematics 4, 251-256.

2007

  1. On limit graphs of finite vertex-primitive graphs, (with Michael Giudici, Cai Heng Li, Akos Seress and Vladimir Trofimov) J.Combin. Theory, Series A 114, 110-134.  (This paper was ranked in the TOP25 Hottest Articles downloaded in the period October, November and December, 2006 within the Journal of Combinatorial Theory, Series A.)
  2. A new family of locally 5-arc transitive graphs, (with Michael Giudici and Cai Heng Li), European J. Combin. 28, 533-548.
  3. Homogeneous factorisations of complete multipartite graphs, (with M. Giudici, C. H. Li, and P Potocnik), Discrete Math. 307, 415--431.
  4. Quasiprimitive groups and blow-up decompositions, (with Robert W. Baddeley and Csaba Schneider), J. Algebra 311, 337-351.   doi.org/10.1016/j.jalgebra.2006.11.006
  5. On permutations of order dividing a given integer, (with Alice C. Niemeyer). J. Alg. Combin. 26, 125-142. doi.org/10.1007/s10801-007-0056-5
  6. Three types of inclusions of innately transitive permutation groups into wreath products in product action, (with Csaba Schneider), Israel J. Math. 158, 65-104.  arXiv:math/0406600
  7. The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair. Designs, Codes and Crypt. 44, 115 - 132.
  8. On the proportion of permutations of order a multiple of the degree, (with Alice C. Niemeyer). J. London Math. Soc. 76, 622-632.   doi: 10.1112/jlms/jdm084
  9. Extremely primitive groups, (with Avinoam Mann and Akos Seress). Groups, Geometry and Dynamics 1, 623-660. doi: 10.4171/GGD/27

2008

  1. Intransitive Cartesian decompositions preserved by innately transitive permutation groups, (with Robert Baddeley and Csaba Schneider), Trans. Amer. Math. Soc 360, 743-764. PII:S 0002-9947(07)04223-7  arXiv:math/0405241
  2. On the domination number of the generalized Petersen graphs, (with Mehdi Behzad and Arash Behzad), Discrete Math. 308, 603-610. doi:10.1016/j.disc.2007.03.024. [In the ScienceDirect Top 25 Hottest Articles, Discrete Math. Oct-Dec 2007.]
  3. Homogeneous Factorisations of Johnson Graphs, (with Maria Cristeta Cuaresma and Michael Giudici). Designs, Codes and Cryptography 46, 303-327. doi:10.1007/s10623-007-9158-2.
  4. Classification of line-transitive point-imprimitive linear spaces with line size at most 12, (with Shenglin Zhou). Designs, Codes and Crypt. 47, 99-111. doi: 10.1007/s10623-007-9077-2.
  5. Transitive decompositions of graph products: rank 3 grid type, (with John Bamberg and Geoffery Pearce), J. Group Theory 11, 185-228. doi: 10.1515/JGT.2008.011 Published on-line March 2008.
  6. Homogeneous factorisations of graph products, (with Michael Giudici, Cai Heng Li and Primoz Potocnik). Discrete Math. 308, 3652- 3667. doi: 10.1016/j.disc.2007.07.025
  7. Primitive decompositions of Johnson graphs, (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Combin. Theory, Series A. 115, 925-966.  doi:10.1016/j.jcta.2007.11.005 [In the ScienceDirect Top 25 Hottest Articles. J. Combin. Theory (A) Jan-Mar and July-Sep 2008.]  
  8. Symmetrical Covers, Decompositions and Factorisations of Graphs, (with Michael Giudici and Cai Heng Li), in Applications to Group Theory and Combinatorics. Eds: Jack Koolen, Jin Ho Kwak and Mingyao Xu. A. A. Balkema Publishers (Taylor & Francis) pp. 27-42.
  9. Computing minimal polynomials of matrices, (with Max Neunhoeffer). The LMS Journal of Computation and Mathematics 11, 252-279,  arXiv:0705.0933v1 [math.RA]
  10. Line-transitive point-imprimitive linear spaces: the grid case, (with Anton Betten and Greg Cresp). Innov. Incidence Geom. 8, 117-135.

2009

  1. Homogeneous factorisations of complete graphs with edge-transitive factors, (with Cai Heng Li and Tian Khoon Lim), J. Alg. Combin. 29, 107 - 132. doi:10.1007/s10801-008-0127-2
  2. A note on arc-transitive circulant digraphs, (with Jing Xu), J. Group Theory, 12, 107-117. doi:10.1515/JGT.2008.064
  3. Flag-transitive symmetric 2-(96,20,4)-designs. (with Maska Law and Sven Reichard). J. Combinatorial Theory, Series A. 116, 1009-1022doi:10.1016/j.jcta.2008.12.005     [In the ScienceDirect Top 25 Hottest Articles. J. Combin. Theory (A) April-Jun 2009.]  
  4. On bipartite divisor graphs for group conjugacy class sizes. (with Daniela Bubboloni, Silvio Dolfi and Mohammadali A. Iranmanesh.)  J. Pure and Applied Algebra 213, 1722-1734.  doi:10.1016/j.jpaa.2009.01.015
  5. Finding involutions in finite Lie type groups of odd characteristic, (with Frank Lubeck and Alice C Niemeyer), J. Algebra 321,  3397–3417. doi:10.1016/j.jalgebra.2008.05.009    
  6. On Generalised Paley Graphs and their automorphism groups, (with Tian Khoon Lim). Michigan Math. J. 58, 294-308. arXiv:math/0605252v1 
  7. Towards an efficient Meat-axe algorithm using f-cyclic matrices: the density of uncyclic matrices in M(n,q), (with S. P. Glasby). J. Algebra 322, 766-790.  doi:10.1016/j.jalgebra.2009.02.021    arXiv:1405.5631.
  8. Finite line-transitive linear spaces: theory and search strategies. (with Anton Betten, Anne Delandtsheer, Maska Law, Alice C. Niemeyer and Shenglin Zhou). Acta Mathematica Sinica, English Series. 25, 1399-1436.  arXiv:math/0701629v2 [math.CO] doi:10.1007/s10114-009-9275-0
  9. Strongly regular edge-transitive graphs, (with Joy Morris and Pablo Spiga). Ars Math. Contemporanea 2, 137–155.
  10. Common circulant homogeneous factorisations of the complete digraph, (with Cai Heng Li and Linda Stringer). Discrete Math. 309, 3006- 3012. doi:10.1016/j.disc.2008.07.034
  11. Maximal subsets of pairwise non-commuting elements of finite three-dimensional general linear groups. (with Azizollah Azad). Bull. Austral. Math. Soc. 80, 91-104.

2010

  1. Some graphs related to the small Mathieu groups, (with Alice Devillers, Michael Giudici, and Cai Heng Li). European J. Combin. 31, 336-348. [In the SciVerse ScienceDirect Top 25 for the 2009-2010 Academic Year . European J. Combin. doi:10.1016/j.ejc.2009.03.017
  2. Imprimitive symmetric graphs with cyclic blocks, (with Cai Heng Li and Sanming Zhou). European J. Combin. 31, 362-367. doi:10.1016/j.ejc.2009.02.006
  3. Regular permutation groups and Cayley graphs, In European Women in Mathematics, Proceedings of the 13th General Meeting, World Scientific, 2010. Eds: Catherine Hobbs and Sylvie Pacha. pp. 55-69.
  4. Estimating proportions of elements in finite groups of Lie type, (with Alice C. Niemeyer). J. Algebra 324, 122-145.   doi:10.1016/j.jalgebra.2010.03.018   
  5. On proportions of pre-involutions in finite classical groups, (with Alice C. Niemeyer and Tomasz Popiel). J. Algebra324, 1016-1043.   doi:10.1016/j.jalgebra.2010.03.026   
  6. Constructive membership testing in black-box classical groups, (with Sophie Ambrose, Scott H. Murray and Csaba Schneider), in ICMS 2010. Eds: K. Fukuda et al. LNCS 6327 (Springer, Heidelberg) pp. 54-57.
  7. Bipartite divisor graphs for integer subsets. (with Mohammad A. Iranmanesh). Graphs and Combin. 26, 95-105.
  8. Bernhard Hermann Neumann 1909 - 2002. Historical Records of Australian Science 21(2), 253 - 282.    doi:10.1071/HR09021; republished with permission in Bull. London Math. Soc. 44 (2012), 375-402.  doi: 10.1112/blms/bdr135
  9. Bernhard Hermann Neumann AC. 15 October 1909 - 21 October 2002 Biogr. Mems. Fell. R. Soc. 56, 285-316.  doi: 10.1098/rsbm.2010.0002

2011

  1. Fundamental dominations in graphs, (with Mehdi Behzad and Arash Behzad). Bulletin Inst. Math. Appl. 61, 6-16.
  2. Normal coverings of finite symmetric and alternating groups (with Daniela Bubboloni). J. Combin. Theory, Series A. 118, 2000-2024.   [In the SciVerse ScienceDirect Top 25 for April-June 2011, in J. Combin. Theory Series A ]  doi: 10.1016/j.jcta.2011.03.008
  3. On triple factorisations of finite groups (with S. Hassan Alavi). J. Group Theory 14, 341-360.  doi: 10.1515/JGT.2010.052
  4. Probabilistic generation of finite classical groups in odd characteristic by involutions, (with Akos Seress). J. Group Theory. 14, 521-545.   doi: 10.1515/JGT.2010.061
  5. Abelian coverings of finite general linear groups and an application to their non-commuting graphs (with A. Azad, M. Iranmanesh, and P. Spiga). J. Alg. Combin. 34, 683-710.  doi: 10.1007/s10801-011-0288-2
  6. Invariant relations and Aschbacher classes of finite linear groups (with Michael Giudici, Cai Heng Li, and Jing Xu). Electronic J. Combin. 18, #P225.  
  7. On imprimitive rank 3 permutation groups (with Alice Devillers, Michael Giudici, Cai Heng Li and Geoffrey Pearce). J. London Math. Soc. 84, 649-669.  doi: 10.1112/jlms/jdr009    Erratum (necessitated by publisher error) doi: 10.1112/jlms/jdr074
  8. Locally s-distance transitive graphs, (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Graph Theory. 96, 176-197   doi:10.1002/jgt.20574

2012

  1. On finite permutation groups with a transitive cyclic subgroup (with Cai Heng Li). J. Algebra 349, 117-127.  doi: 10.1016/j.jalgebra.2011.10.021    (This paper was ranked number 4 in the TOP25 Hottest Articles downloaded in the period October-December 2011 within the Journal of Algebra.)
  2. Symmetry properties of Subdivision Graphs (with Ashraf Daneshkhah and Alice Devillers). Discrete Math. 312, 86-93. doi: 10.1016/j.disc.2011.03.031
  3. An infinite family of biquasiprimitive 2-arc transitive cubic graphs (with Alice Devillers, Michael Giudici and Cai Heng Li). J. Alg. Combin. 35,173-192.  doi: 10.1007/s10801-011-0299-z
  4. On semiregular permutations of a finite set, (with Alice C. Niemeyer, Tomasz Popiel, and Sukru Yalcinkaya). Math. Comp. 81, 605--622.   doi:10.1090/S0025-5718-2011-02506-8
  5. Set-homogeneous directed graphs (with R. Gray, H. D. Macpherson, and G. F. Royle). J. Combin. Theory, Series B 102, 474--520.   doi: 10.1515/JGT.2010.052
  6. Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules. (with Alice C. Niemeyer and Sabina B. Pannek). Archiv der Math. 98, 105-114.   doi: 10.1007/s00013-012-0359-1
  7. Extremely primitive classical groups (with Timothy C. Burness and Akos Seress). J. Pure Appl. Algebra 216, 1580--1610.    doi: 10.1016/j.jpaa.2011.10.028
  8. Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph (with Pablo Spiga and Gabriel Verret). J. Combin. Theory, Series B. 102, 797--819.    doi:10.1016/j.jctb.2011.11.004
  9. Basic and degenerate pregeometries (with Michael Giudici, and Geoffrey Pearce). Eur. J. Combin. 33, 1178--1189.   doi: 10.1007/s10801-012-0350-8
  10. Quotients of incidence geometries, (with Philippe Cara, Alice Devillers, and Michael Giudici). Des. Codes Cryptogr. 64, 105-128.   doi: 10.1007/s10623-011-9488-y
  11. Regular semisimple elements and involutions in finite general linear groups of odd characteristic. (with Akos Seress). Proc. Amer. Math. Soc. 140, 3003-3015.   doi: 10.1090/S0002-9939-2012-11491-1
  12. Embedding permutation groups into wreath products in product action (with Csaba Schneider). J. Austral. Math. Soc. 92, 127-136.    doi:10.1017/S1446788712000110, arXiv:1108.3611.
  13. Quotient-complete arc-transitive graphs (with Carmen Amarra and Michael Giudici). European J. Combin. 33, 1857-1881.    doi:10.1016/j.ejc.2012.04.006
  14. Graphs with automorphism groups admitting composition factors of bounded rank (with Laszlo Pyber, Pablo Spiga and Endre Szabo). Proc. Amer. Math. Soc. 140, 2307-2318.    doi: 10.1090/S0002-9939-2011-11100-6
  15. Algorithms to identify abundant p-singular elements in finite classical groups. (with Alice C. Niemeyer and Tomasz Popiel). Bull. Austral. Math. Soc. 86, 50-63. doi:10.1017/S0004972712000317, arxiv:1007.2983v4
  16. A classification of the strongly regular generalised Johnson graphs (with Andrew D. Cannon and John Bamberg). Annals of Combin. 16, 489-506.   doi: 10.1007/s00026-012-0142-9
  17. Basic coset geometries (with Michael Giudici and Geoffrey Pearce). J. Alg. Combin. 36, 561-594.   doi: 10.1007/s10801-012-0350-8
  18. Proportions of elements with given 2-part order in finite classical groups of odd characteristic (with Simon Guest). J. Algebra 372, 637-660.   doi: 10.1016/j.jalgebra.2012.09.028
  19. Extremely primitive sporadic and alternating groups (with Timothy C. Burness and Akos Seress). Bull. London Math. Soc. 44, 1147-1154.    doi: 10.1112/blms/bds038
  20. A new solvability criterion for finite groups (with Silvio Dolfi, R. M. Guralnick, and Marcel Herzog). J. London Math. Soc. 85, 269-281.   doi: 10.1112/jlms/jdr041
  21. The proportion of cyclic matrices in maximal reducible matrix algebras. (with Scott Brown, Michael Giudici and Stephen Glasby). J. Algebra 369, 360-368.   doi: 10.1016/j.jalgebra.2012.06.024, arXiv:1105.4078.
  22. Proportions of elements with given 2-part order in the symmetric group. (with Simon Guest). J. Group Theory. 15, 717-735.   doi: 10.1515/jgt-2012-0021

2013

  1. Local 2-geodesic transitivity and clique graphs (with Alice Devillers, Wei Jin and Cai Heng Li). J. Comb. Theory, Series A. 120, 500-508.   doi: 10.1016/j.jcta.2012.10.004
  2. Line graphs and geodesic transitivity. (with Alice Devillers, Wei Jin and Cai Heng Li). Ars. Math. Contemporanea 6, 13-20.   amc.imfm.si/index.php/amc/article/download/248/181, arXiv:1201.4297.
  3. Estimation problems and randomised group algorithms. (with Alice C. Niemeyer and Akos Seress). In Probabilistic Group Theory, Combinatorics and Computing, Editors: Alla Detinko, Dane Flannery and Eamonn O'Brien. Lecture Notes in Mathematics, Springer, Berlin, Vol. 2070. Chapter 2, pp. 35-82. ISBN: 978-1-4471-4813-5
  4. Neighbour transitivity on codes in Hamming graphs. (with Neil Gillespie). Des. Codes Crypt. 67, 385-393.   doi: 10.1007/s10623-012-9614-5, arXiv:1112.1244.
  5. Uniqueness of certain completely regular Hadamard codes. (with Neil Gillespie). J. Comb. Theory, Series A. 120, 1394-1400.    doi: 10.1016/j.jcta.2013.04.006, arXiv:1112.1247. (This paper was ranked number 22 in the Top 25 Hottest Articles in J. Combin. Theory, Series A, June-September 2013.)
  6. Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group (with Carmen Amarra and Michael Giudici). Des. Codes Crypt. 68, 127-139.   doi: 10.1007/s10623-012-9644-z
  7. Rank 3 transitive decompositions of complete multipartite graphs (with Geoffrey Pearce). Graphs and Combin. 29, 669-680.   doi: 10.1007/s00373-011-1120-4
  8. The classification of almost simple 3/2-transitive groups (with John Bamberg, Michael Giudici, Martin Liebeck, and Jan Saxl). Trans. Amer. Math. Soc. 365, 4257-4311.   doi: 10.1090/S0002-9947-2013-05758-3, arXiv:1103.6069.
  9. Normal coverings and pairwise generation of finite alternating and symmetric groups. (with Daniela Bubboloni and Pablo Spiga). J. Algebra 390, 199-215.   doi: 10.1016/j.jalgebra.2013.05.017, arXiv:1211.2559.
  10. Proportions of r-regular elements in finite classical groups. (with L. Babai, S. Guest and R. A. Wilson). J. London Math. Soc. (2) 88, 202-226.    doi:10.1112/jlms/jdt011, arxiv:1205.1327
  11. Locally s-distance transitive graphs and pairwise transitive designs. (with Alice Devillers, Michael Giudici, and Cai Heng Li). J. Combin. Theory, Series A. 120, 1855-1870.    doi:10.1016/j.jcta.2013.07.003, arXiv:1308.0401
  12. Elusive codes in Hamming graphs. (with Neil Gillespie and Dan Hawtin). Bull. Austral. Math. Soc. 88, 286-296.   doi: 10.1017/S0004972713000051, arXiv:1208.4455.
  13. Coprime subdegrees for primitive permutation groups and completely reducible linear groups. (with Silvio Dolfi, R. M. Guralnick, and Pablo Spiga). Israel J. Math. 195, 745-772.   doi: 10.1007/s11856-012-0163-4, arXiv:1109.6559.

2014

  1. Unitals in the Desarguesian projective plane of order 16. (with John Bamberg, Anton Betten and Alfred Wassermann). J. Stat. Planning and Inference 144, 110-122.    doi: 10.1016/j.jspi.2012.10.006
  2. Conjectures on the normal covering number of the finite symmetric and alternating groups. (with Daniela Bubboloni and Pablo Spiga). International J. Group Theory. 3, 57-75.    arXiv:1204.2900.
  3. Abundant p-singular elements in finite classical groups (with Alice C. Niemeyer and Tomasz Popiel). J. Algebra 408, 189-204.   doi: 10.1016/j.jalgebra.2013.09.021, arXiv:1205.1454.
  4. Diagonally neighbour transitive codes and frequency permutation arrays. (with Neil Gillespie). J. Alg. Combin. 39, 733-747.   doi: 10.1007/s10801-013-0465-6, arXiv:1204.2900.
  5. On normal 2-geodesic transitive Cayley graphs. (with Alice Devillers, Wei Jin, and Cai Heng Li). J. Alg. Combin. 39, 903-918    doi:10.1007/s10801-013-0472-7
  6. Sporadic neighbour-transitive codes in Johnson graphs. (with Max Neunhoeffer). Des. Codes Crypt. 72, 141-152.    doi:10.1007/s10623-013-9853-0,    arXiv:1308.0398.
  7. Advances in mathematics and statistics in Western Australia since 1960. (with Andrew P. Bassom, Jennifer Hopwood, J. L. Noakes, and Anthony G. Pakes). J. Royal Soc. of Western Australia 97, 253-260.
  8. Neighbour-transitive codes in Johnson graphs. (with Robert A. Liebler). Des. Codes Crypt. 73, 1-25.    doi:10.1007/s10623-014-9982-0,    arXiv:1310.2911
  9. Elements in finite classical groups whose powers have large 1-Eigenspaces (with Alice C. Niemeyer). Disc. Math. and Theor. Comp. Sci. 16, 303-312.    arXiv:1405.2385.
  10. Centraliser Codes. (with Adel Alahmadi , Suat Karadeniz, Bahattin Yildiz, and Patrick Sole). Linear Algebra and its Applications 463, 1-10.    dx.doi.org/10.1016/j.laa.2014.08.024

2015

  1. Generation of finite classical groups by pairs of elements with large fixed point spaces, (with Akos Seress and Sukru Yalcinkaya). J. Alg. 421, 56-101.    doi: 10.1016/j.jalgebra.2014.08.020, arXiv: 1403.2057
  2. Finite primitive permutation groups and regular cycles of their elements. (with Michael Giudici and Pablo Spiga). J. Alg. 421, 27-55.    doi: 10.1016/j.jalgebra.2014.08.015, arXiv: 1311.3906

TO APPEAR

  1. On the maximum orders of elements of finite almost simple groups and primitive permutation groups. (with Simon Guest, Joy Morris and Pablo Spiga). Trans. Amer. Math. Soc. Accepted August 1, 2013. arXiv:1301.5166.
  2. Arithmetic results on orbits of linear groups. (with Michael Giudici, Martin W. Liebeck, Jan Saxl and Pham Huu Tiep). Trans. Amer. Math. Soc. Accepted January 17, 2014. arXiv:1203.2457.
  3. Affine transformations of finite vector spaces with large orders or few cycles. (with Simon Guest, Joy Morris, and Pablo Spiga). J. Pure and Applied Alg. Accepted March 21, 2014. arXiv: 1306.1368
  4. Decomposing modular tensor products: "Jordan partitions", their parts and p-parts. (with S. P. Glasby and Binzhou Xia). Israel J. Math. Accepted May 12, 2014. arXiv: 1403.4685
  5. Generalised quadrangles and transitive pseudo-hyperovals. (with John Bamberg, Stephen Glasby, Tomasz Popiel). J. Comb. Designs. Accepted August 20, 2014.    doi:10.1002/jcd.21411    arXiv: 1406.6445.
  6. Finite 2-geodesic transitive graphs of prime valency. (with Alice Devillers, Wei Jin, and Cai Heng Li). J. Graph Theory Accepted September 17, 2014.
  7. Twisted permutation codes. (with Neil Gillespie and Pablo Spiga). J. Group Theory. Accepted October 20, 2014. arXiv:1402.5305.
  8. On geodesic transitive graphs. (with Alice Devillers, Wei Jin, and Cai Heng Li). Discrete Math. Accepted November 6, 2014.
  9. Triple factorisations of the general linear group and their associated geometries. (with S. Hassan Alavi and John Bamberg). Linear Algebra Appn.    arXiv:1405.5276.

SUBMITTED

  1. Complete transitivity of the Nordstrom-Robinson codes. (with Neil Gillespie). Submitted May 17, 2012. arXiv:1205.3878.
  2. Classification of a family of completely transitive codes. (with Neil Gillespie and Michael Giudici). Submitted September 5, 2012. arXiv:1208.0393.
  3. On the maximal number of coprime subdegrees in finite primitive permutation groups. (with Silvio Dolfi, R. M. Guralnick, and Pablo Spiga). Submitted August 8, 2012. arXiv:1203.2728.
  4. Straight-line programs with memory and matrix Bruhat decomposition. (with Alice C. Niemeyer and Tomasz Popiel). Submitted May 17, 2013. arXiv:1305.5617.
  5. Finite primitive permutation groups containing a permutation having at most four cycles. (with Simon Guest, Joy Morris, and Pablo Spiga). Submitted July 31, 2013. arXiv:1307.6881.
  6. From neighbour transitive codes to frequency permutation arrays. (with Neil Gillespie). Submitted April 17, 2012. arXiv:1204.2900.
  7. Two-sided Cayley graphs. (with Moharram Iradmusa). Submitted January 9, 2014. arXiv: 1401.2741
  8. Decomposing modular tensor products, and periodicity of "Jordan partitions". (with S. P. Glasby and Binzhou Xia). Submitted January 10, 2014.    arXiv:1401.2748
  9. Primary cyclic matrices in irreducible matrix subalgebras. (with Brian P. Corr). Submitted January 2014. arXiv:1401.1598.
  10. Normal edge-transitive cayley graphs of Frobenius groups. (with Brian P. Corr). Submitted January 2014. arXiv:1401.1883.
  11. Nilpotent-independent sets and estimation in matrix algebras. (with Brian Corr and Tomasz Popiel). Submitted May 6, 2014.    arXiv:1405.1795.
  12. The Structure of Elusive Codes in Hamming Graphs. (withg Neil I. Gillespie and Daniel R. Hawtin).    arxiv:1404.0950
  13. Pairwise transitive 2-designs. (with Alice Devillers). Submitted May 13, 2014.    arXiv:1405.3030.
  14. A characterisation of the sporadic simple groups M_24 and He. (with Michael Giudici, Alexander Ivanov and Luke Morgan). Submitted May 13, 2014.    arXiv:1405.3416.
  15. Characterisation of a family of neighbour transitive codes. (with Neil Gillespie). Submitted May 21, 2014.    arXiv: 1405.5427
  16. Finite edge-transitive oriented graphs of valency four: a global approach. (with Jehan A. Al-bar, Ahmad N. Al-kenani, and Najat Mohammad Muthana). Submitted May 21, 2014.    arXiv: 1405.5427
  17. Locally triangular graphs and rectagraphs with symmetry. (with John Bamberg, Alice Devillers, Joanna Fawcett). Submitted July 31, 2014.    arXiv: 1407.8312
  18. Decomposing modular tensor products and periodicity of Jordan partitions. (with S. P. Glasby and Binzhou Xia). Submitted August 19, 2014.    arXiv:140??
  19. Constructing flag-transitive, point-imprimitive designs. (with Peter J. Cameron). Submitted August 30, 2014.    arXiv: 1408.6598
  20. Point primitive generalised hexagons and octagons. (with John Bamberg, Stephen P. Glasby, Tomasz Popiel and Csaba Schneider). Submitted October 10, 2014.    arXiv: 1410.3423.
  21. Entry faithful 2-neighbour transitive codes. (with Neil Gillespie, Michael Giudici, Daniel R. Hawtin). Submitted 27 November, 2014.    arXiv: ???
  22. The classification of 3/2-transitive permutation groups and 1/2-transitive linear groups. (with Martin Liebeck). Submitted 20 November, 2014.    arXiv: 1412.3912
  23. Identifying long cycles in finite alternating and symmetric groups acting on subsets (with Steve Linton, and Alice C. Niemeyer). Submitted Dec 1, 2014. arXiv:1205.6586.

PUBLISHED ONLY ON ARXIV

  1. Symmetric graphs with complete quotients. (with A. D. Gardiner), manuscript from 2000, uploaded to the math arXiv March 2014.    arXiv: 1403.4387
  2. Completely transitive designs. (with Chris Godsil), manuscript from 1997, uploaded to the math arXiv May 2014.    arXiv: 1405.2176