English

On groups acting on contractible spaces with stabilizers of prime power order

Group Theory 2009-08-25 v2 Algebraic Topology

Abstract

We study actions of discrete groups on contractible topological spaces in which either (1) all stabilizers lie in the family of subgroups of prime power order or (2) all stabilizers lie in the family of finite subgroups. We compare the classifying spaces for actions with stabilizers in these two families, the Kropholler hierarchies build on these two families, and group cohomology relative to these two families.

Keywords

Cite

@article{arxiv.0903.1189,
  title  = {On groups acting on contractible spaces with stabilizers of prime power order},
  author = {Ian J. Leary and Brita E. A. Nucinkis},
  journal= {arXiv preprint arXiv:0903.1189},
  year   = {2009}
}

Comments

Version 2 contains a reference to related work of Yoav Segev, some other minor changes