R. A. Wilson - Publications

For reprints or preprints, send email to R.A.Wilson@bham.ac.uk.

Books

  1. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, An ATLAS of Finite Groups, Oxford University Press, 1985.
  2. C. Jansen, K. Lux, R. A. Parker and R. A. Wilson, An ATLAS of Brauer characters, Oxford University Press, 1995.
  3. R. W. Kaye and R. A. Wilson, Linear algebra, Oxford University Press, 1998.
  4. R. T. Curtis and R. A. Wilson (eds.), The Atlas of Finite Groups Ten Years On - Proceedings of the Birmingham Conference, 10-13th July 1995, LMS Lecture Note series 249, Cambridge University Press, 1998.
  5. R. A. Wilson, Graphs, colourings and the four-colour theorem, Oxford University Press, January 2002.

Papers

  1. The quaternionic lattice for $2G_2(4)$ and its maximal subgroups, J. Algebra 77 (1982), 449-466.
  2. The maximal subgroups of Conway's group .2, J. Algebra 84 (1983), 107-114.
  3. The complex Leech lattice and the maximal subgroups of the Suzuki group, J. Algebra 84 (1983), 151-188.
  4. The maximal subgroups of Conway's group $Co_1$, J. Algebra 85 (1983), 144-165.
  5. The geometry and maximal subgroups of the simple groups of A. Rudvalis and J. Tits, Proc. London Math. Soc. (3) 48, (1984), 533-563.
  6. On maximal subgroups of the Fischer group $Fi_22$, Math. Proc. Cambridge Philos. Soc. 95 (1984), 197-222.
  7. The subgroup structure of the Lyons group, Math. Proc. Cambridge Philos. Soc. 95 (1984), 403-409.
  8. On lexicographic codes of minimal distance 4, Atti Sem. Mat. Fis. Univ. Modena 33 (1984), 125-135.
  9. The maximal subgroups of the Lyons group, Math. Proc. Cambridge Philos. Soc. 97 (1985), 433-436.
  10. Maximal subgroups of automorphism groups of simple groups, J. London Math. Soc. (2) 32 (1985), 460-466.
  11. The maximal subgroups of the O'Nan group, J. Algebra 97 (1985), 467-473.
  12. Maximal subgroups of sporadic groups, Groups - St Andrews, 1985 (ed. Campbell and Robertson), 352-358. LMS Lecture Notes 121, Cambridge University Press.
  13. The geometry of the Hall-Janko group as a quaternionic reflection group, Geom. Dedicata 20 (1986), 157-173.
  14. Is $J_1$ a subgroup of the Monster? Bull. London. Math. Soc. 18 (1986), 349-350.
  15. (with S. P. Norton) The maximal subgroups of the Harada-Norton group, J. Algebra 103 (1986), 362-376.
  16. Some subgroups of the Baby Monster, Invent. Math. 89 (1987), 197-218.
  17. The local subgroups of the Fischer groups, J. London Math. Soc. (2) 36 (1987), 77-94.
  18. (with P. B. Kleidman) A characterization of some locally finite simple groups of Lie type, Arch. Math. 48 (1987), 10-14.
  19. (with P. B. Kleidman) The maximal subgroups of $Fi_22$, Math. Proc. Cambridge Philos. Soc. 102 (1987), 17-23. Corrigendum, ibid. 103 (1988), 383.
  20. The odd-local subgroups of the Monster, J. Austral. Math. Soc. (A) 44 (1988), 1-16.
  21. Some subgroups of the Thompson group, J. Austral. Math. Soc. (A) 44 (1988) 17-32.
  22. On the 3-local subgroups of Conway's group $Co_1$, J. Algebra 113 (1988), 261-262.
  23. (with J. H. Conway and P. B. Kleidman) New families of ovoids in $O_8^+$, Geom. Dedicata 26 (1988), 157-170.
  24. (with P. B. Kleidman) The maximal subgroups of $J_4$, Proc. London Math. Soc. (3) 56 (1988), 484-510.
  25. (with P. B. Kleidman and R. A. Parker) The maximal subgroups of the Fischer group $Fi_23$, J. London Math. Soc. (2) 39 (1989), 89-101.
  26. Vector stabilizers and subgroups of Leech lattice groups, J. Algebra 127 (1989), 387-408.
  27. (with S. P. Norton) The maximal subgroups of $F_4(2)$ and its automorphism group, Comm. Algebra 17 (1989), 2809-2824.
  28. (with P. B. Kleidman) The maximal subgroups of $E_6(2)$ and Aut$(E_6(2))$, Proc. London Math. Soc. (3) 60 (1990), 266-294.
  29. The 2- and 3- modular characters of $J_3$, its covering group and automorphism group, J. Symbol. Comp. 10 (1990), 647-656.
  30. (with R. A. Parker) The computer construction of matrix representations of finite groups over finite fields, J. Symbol. Comp. 9 (1990), 583-590.
  31. (with P. B. Kleidman) $J_3 < E_6(4)$ and $M_12 < E_6(5)$, J. London Math. Soc. (2) 42 (1990), 555-561.
  32. (with S. A. Linton) The maximal subgroups of the Fischer groups $Fi_24$ and $Fi_24'$, Proc. London Math. Soc. (3) 63 (1991), 113-164.
  33. (with I. A. I. Suleiman) Computer construction of matrix representations of the covering group of the Higman-Sims group, J. Algebra 148 (1992), 219-224.
  34. (with I. A. I. Suleiman) The 3- and 5-modular characters of the covering and automorphism groups of the Higman-Sims group, J. Algebra 148 (1992), 225-242.
  35. (with I. A. I. Suleiman) The 3-modular characters of the McLaughlin groups McL and of its automorphism group McL:2, Groups, Combinatorics and Geometry (ed. M.W. Liebeck and J. Saxl), LMS Lecture Notes 165 (1992), pp. 422-437.
  36. (with M. D. E. Conder and A. J. Woldar) The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (1992), 653-663.
  37. Some new subgroups of the Baby Monster, Bull. London Math. Soc. 25 (1993), 23-28.
  38. Matrix generators for Fischer's group $Fi_24$, Math. Proc. Cambridge Philos. Soc. 113 (1993), 5-8.
  39. The Brauer tree for $J_3$ in characteristic 17, J. Symbol. Comp. 15 (1993), 325-330.
  40. (with P. B. Kleidman) Sporadic simple subgroups of finite exceptional groups of Lie type, J. Algebra 157 (1993), 316-330.
  41. A new construction of the Baby Monster, and its applications, Bull. London Math. Soc. 25 (1993), 431-437.
  42. The symmetric genus of the Baby Monster, Quart. J. Math. (Oxford) 44 (1993), 513-516.
  43. More on the maximal subgroups of the Baby Monster, Archiv der Math. 61 (1993), 497-507.
  44. The action of a maximal parabolic subgroup on the transpositions of the Baby Monster, Proc. Edinburgh Math. Soc. 37 (1993), 185-189.
  45. (with I. A. I. Suleiman) Construction of the fourfold cover of the Mathieu group $M_22$, Experimental Math. 2 (1993), 11-14.
  46. (with I. A. I. Suleiman) The 2-modular characters of Conway's second group $Co_2$, Math. Proc. Cambridge Philos. Soc. 116 (1994), 275-283.
  47. (with A. J. E. Ryba) Matrix generators for the Harada-Norton group, Experimental Math., 3 (1994), 137-145.
  48. (with I. A. I. Suleiman) Standard generators for $J_3$, Experimental Math. 4 (1995), 11-18.
  49. Standard generators for sporadic simple groups, J. Algebra 184 (1996), 505-515.
  50. (with C. Jansen) The minimal faithful 3-modular representation of the Lyons group, Comm. Algebra 24 (1996), 873-879.
  51. The symmetric genus of the Fischer group $Fi_23$, Topology 36 (1996), 379-380.
  52. (with I. A. I. Suleiman) The 2-modular characters of Conway's third group $Co_3$, J. Symbolic Comput. 24 (1997), 493-506.
  53. A representation for the Lyons group in $GL_{2480}(4)$, and a new uniqueness proof, Arch. Math. (Basel) 70 (1998), 11-15.
  54. (with C. Jansen) Two new constructions of the O'Nan group, J. London Math. Soc. 56 (1997), 579-583.
  55. (with C. Jansen) The 2- and 3-modular decomposition numbers for the sporadic simple O'Nan group and its triple cover, J. London Math. Soc. 57 (1998), 71-90.
  56. An Atlas of Sporadic Group Representations, in `The Atlas 10 years on' (eds RT Curtis and RA Wilson), pp. 261-273. LMS Lecture Note series 249, Cambridge University Press, 1998.
  57. (with I. A. I. Suleiman), Covering and automorphism groups of $U_6(2)$, Quart. J. Math. (Oxford) 48 (1998), 511-517.
  58. The McKay conjecture is true for the sporadic simple groups, J. Algebra 207 (1998), 294-305.
  59. (with I. A. I. Suleiman), Construction of exceptional covers of generic groups, Math. Proc. Cambridge Philos. Soc. 125 (1999), 31-38.
  60. Construction of finite matrix groups, in Proceedings of the Euroconference on `Computational methods for representations of groups and algebras', Essen, April 1997. pp. 61-83. Progress in Mathematics, Vol. 173. Birkhäuser, 1999.
  61. (with S. A. Linton, R. A. Parker and P. G. Walsh) Computer construction of the Monster, J. Group Theory 1 (1998), 307-337.
  62. The maximal subgroups of the Baby Monster, I, J. Algebra 211 (1999), 1-14.
  63. (with J. Saxl and D. B. Wales) Embeddings of Sz(32) in E_8(5), Bull. London Math. Soc. 32 (2000), 196-202.
  64. (with R. A. Parker) Constructions of Fischer's Baby Monster over fields of characteristic not 2. J. Algebra 229 (2000), 109-117.
  65. (with I. A. I. Suleiman and P. G. Walsh) Conjugacy classes in sporadic simple groups, Comm. Algebra 28 (2000), 3209-3222.
  66. (with G. Havas and L. H. Soicher) A presentation for the Thompson sporadic simple group, pp. 193-200 in Groups and Computation III (eds. W. M. Kantor and A. Seress), Proceedings of the International Conference at the Ohio State University, June 15-19 1999. W. de Gruyter, 2001.
  67. (with J.N.Bray, I. A. I. Suleiman and P. G. Walsh) Generating maximal subgroups of sporadic simple groups, Comm. Algebra 29 (2001), 1325--1337.
  68. The Monster is a Hurwitz group, J. Group Theory, 4 (2001), 367-374.
  69. (with J. Mueller, M. Neunhoeffer, F. Roehr) Completing the Brauer trees for the sporadic simple Lyons group, London Math Soc J Comput Math 5 (2002), 18-33.
  70. (with S. P. Norton) Anatomy of the Monster, II, Proc. London Math. Soc. 84 (2002), 581-598.
  71. (with P. E. Holmes) A new maximal subgroup of the Monster. J Algebra 251 (2002), 435-447.
  72. Conjugacy class representatives in Fischer's Baby Monster, London Math Soc J Comput Math 5 (2002), 175-180.

Accepted for publication

  1. (with P. E. Holmes) A new computer construction of the Monster using 2-local subgroups. Preprint 2001/04, School of Mathematics and Statistics, Birmingham University, 2001. To appear in J London Math Soc.
  2. (with Jianbei An and E. A. O'Brien) The Alperin weight conjecture and Dade's conjecture for the simple group J4, London Math Soc J Comput Math, to appear, 2003.

Unpublished preprints, and work in preparation

  1. On maximal subgroups of the finite classical groups, 1982.
  2. The geometry of $2 \times U_5(2)$ as a quaternionic reflection group, 1985.
  3. The maximal subgroups of the Baby Monster, II, in preparation.
  4. (with R. A. Parker) The 2-modular character table of the Rudvalis group, Preprint 98/12, School of Mathematics and Statistics, Birmingham University, 1998.
  5. A construction of the Monster group over GF(7), and an application, Preprint 2000/22, School of Mathematics and Statistics, Birmingham University, 2000.
  6. Computing in the Monster, to appear in the Proceedings of the Durham Conference on Groups and Geometries, July 2001.
  7. (with P. E. Holmes) L2(59) is a subgroup of M, in preparation.
Last updated 2nd April 2003.
R.A.Wilson@bham.ac.uk