Homotopy classification of actions of finite groups on aspherical spaces

被引：0

作者：

Lokutsievskii L.V. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2011年 / 177卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Normal Subgroup; Spectral Sequence; Cell Complex; Free Action; Homotopy Classification;

D O I：

10.1007/s10958-011-0455-y

中图分类号：

学科分类号：

摘要：

In this paper, actions of finite groups on aspherical spaces are studied. A complete homotopy classification of free actions of finite groups on aspherical spaces is obtained, including some results in nonfree actions. For example, a relation between cohomologies of finite groups and the lattice structure of their subgroups is obtained by this method; this relation is formulated in terms of spectral sequences. © 2011 Springer Science+Business Media, Inc.

引用

页码：244 / 256

页数：12

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