Homotopy classification of finite group actions on aspherical spaces

Details Homotopy classification of finite group actions on aspherical spaces Homotopy classification of finite group actions on aspherical spaces

2010-08-17

arxiv.org/abs/1008.2980v3

Mathematics

General Topology

15 pages, 1 figure

Scientific paper

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.

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