On the mod-2 cohomology of SL3(Z[1/2, i])

被引：0
|
作者：
Henn, Hans -Werner [1 ]
机构：
[1] Univ Strasbourg, Inst Rech Math Avancee, CNRS, Strasbourg, France
来源：
TUNISIAN JOURNAL OF MATHEMATICS | 2019年 / 1卷 / 04期
关键词：
cohomology of special and general linear groups; Quillen conjecture; LINEAR-GROUPS; CONSTRUCTION; SUBGROUPS;
D O I：
10.2140/tunis.2019.1.539
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let gamma = SL3(Z[1/2, i]), let X be any mod-2 acyclic gamma-CW complex on which gamma acts with finite stabilizers and let X-s be the 2-singular locus of X. We calculate the mod-2 cohomology of the Borel construction of X-s with respect to the action of gamma. This cohomology coincides with the mod-2 cohomology of gamma in cohomological degrees bigger than 8 and the result is compatible with a conjecture of Quillen which predicts the structure of the cohomology ring H*(gamma; F-2).
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页码：539 / +
页数：25
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