The cohomology of the Sylow 2-subgroup of the Higman-Sims group

被引:3
|
作者
Adem, A [1 ]
Carlson, JF
Karagueuzian, DB
Milgram, RJ
机构
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Georgia, Dept Math, Athens, GA 30602 USA
[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA
关键词
20J06; 55R35;
D O I
10.1016/S0022-4049(00)00170-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we compute the mod 2 cohomology of the Sylow 2-subgroup of the Higman-Sims group HS, one of the 26 sporadic simple groups. We obtain its Poincare series as well as an explicit description of it as a ring with 17 generators and 79 relations. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:275 / 305
页数:31
相关论文
共 50 条
  • [41] On the graphs of Hoffman-Singleton and Higman-Sims
    Hafner, PR
    ELECTRONIC JOURNAL OF COMBINATORICS, 2004, 11 (01):
  • [42] On automorphisms of 6-covers of the Higman-Sims graph
    A. A. Makhnev
    V. V. Nosov
    Doklady Mathematics, 2009, 79 : 219 - 222
  • [43] On automorphisms of 6-covers of the Higman-Sims graph
    Makhnev, A. A.
    Nosov, V. V.
    DOKLADY MATHEMATICS, 2009, 79 (02) : 219 - 222
  • [44] On automorphisms of irreducible linear groups with an Abelian Sylow 2-subgroup
    A. A. Yadchenko
    Mathematical Notes, 2016, 99 : 138 - 154
  • [45] Periodic Groups with One Finite Nontrivial Sylow 2-Subgroup
    Lytkina, D. V.
    Mazurov, V. D.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2023, 323 (SUPPL 1) : S160 - S167
  • [47] The Alperin Theorem for Periodic Groups with a Finite Sylow 2-Subgroup
    Liu, A. -M
    Guo, W.
    Li, B. J.
    Lytkina, D. V.
    Mazurov, V. D.
    SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (04) : 804 - 809
  • [48] SOME PROPERTIES OF FINITE GROUPS WITH WREATHED SYLOW 2-SUBGROUP
    BRAUER, R
    WONG, WJ
    JOURNAL OF ALGEBRA, 1971, 19 (02) : 263 - &
  • [49] Jaeger's Higman-Sims state model and the B-2 spider
    Kuperberg, G
    JOURNAL OF ALGEBRA, 1997, 195 (02) : 487 - 500
  • [50] A NEW CHARACTERIZATION OF SPORADIC HIGMAN-SIMS AND HELD GROUPS
    Yang, Y.
    Liu, S.
    EURASIAN MATHEMATICAL JOURNAL, 2014, 5 (03): : 102 - 116