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
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页码:275 / 305
页数:31
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