On cohomology isomorphisms of groups

被引：9

作者：

Symonds, Peter ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M60 1QD, Lancs, England

来源：

JOURNAL OF ALGEBRA | 2007年 / 313卷 / 02期

关键词：

cohomology; T-functor;

D O I：

10.1016/j.jalgebra.2007.02.054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how Mislin's theorem on group homomorphisms that induce an isomorphism in cohomology can be proved based on ideas of Alperin and the use of Lannes's T-functor. This enables us to extend the class of groups to include groups of finite virtual cohomological dimension and profinite groups. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：802 / 810

页数：9

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