Classifying spaces for proper actions of locally-finite groups
Group Theory
2007-06-13 v1
Abstract
For each finite ordinal n, and each locally-finite group G of cardinality aleph-sub-n, we construct an (n+1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy HF.
Cite
@article{arxiv.math/0111283,
title = {Classifying spaces for proper actions of locally-finite groups},
author = {Warren Dicks and Peter H. Kropholler and Ian J. Leary and Simon Thomas},
journal= {arXiv preprint arXiv:math/0111283},
year = {2007}
}
Comments
AMSTeX.amsppt, 25 pages, no figures