Homotopy classification of finite group actions on aspherical spaces

2010/08/17 by L. V. Lokutsievskiy, Lev Lokutsievskiy, Lokutsievskiy, Lev
Mathematics · #55P20 #Algebraic structures and combinatorial models #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GN #math.GR #msc:55P20

paper · pdf · doi:10.48550/arxiv.1008.2980

15 pages, 1 figure

openalex publication_date 2010/08/17 · arxiv created 2010/08/31 · arxiv updated 2010/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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