Homotopy classification of finite group actions on aspherical spaces
General Topology
2010-09-01 v3 Group Theory
Abstract
The author proposes a method for investigating actions of finite groups on aspherical spaces. Complete homotopy classification of free actions of finite groups on aspherical spaces is obtained. Also there are some results about non-free actions. For example a relation between the cohomology of finite groups and the lattice structure of its subgroups is obtained by the proposed method. This relation is formulated in terms of spectral sequences.
Keywords
Cite
@article{arxiv.1008.2980,
title = {Homotopy classification of finite group actions on aspherical spaces},
author = {Lev Lokutsievskiy},
journal= {arXiv preprint arXiv:1008.2980},
year = {2010}
}
Comments
15 pages, 1 figure