Commensurators and classifying spaces with virtually cyclic stabilizers
Algebraic Topology
2011-09-01 v1 Group Theory
Abstract
By examining commensurators of virtually cyclic groups, we show that for each natural number n, any locally finite-by-virtually cyclic group of cardinality aleph_n admits a finite dimensional classifying space with virtually cyclic stabilizers of dimension n+3. As a corollary, we prove that every elementary amenable group of finite Hirsch length and cardinality aleph_n admits a finite dimensional classifying space with virtually cyclic stabilizers.
Cite
@article{arxiv.1108.6279,
title = {Commensurators and classifying spaces with virtually cyclic stabilizers},
author = {Dieter Degrijse and Nansen Petrosyan},
journal= {arXiv preprint arXiv:1108.6279},
year = {2011}
}
Comments
12 pages