Authors: Ian J Leary and Brita E A Nucinkis

Ian Leary
Affiliation: The Ohio State University and Heilbronn Institute
University of Bristol 

Brita Nucinkis 
Affiliation: University of Southampton 

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.

Version 2 of the paper corrects some misprints, improves the
exposition, and includes a reference to related work of Yoav
Segev.  

Status: preprint