An Eilenberg-Ganea Phenomenon for Actions with Virtually Cyclic Stabilisers
Group Theory
2014-04-25 v2 Geometric Topology
Abstract
In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups. For some Coxeter groups and the family of virtually cyclic subgroups we show that the Bredon cohomological dimension is 2 while the Bredon geometric dimension is 3.
Cite
@article{arxiv.1207.1474,
title = {An Eilenberg-Ganea Phenomenon for Actions with Virtually Cyclic Stabilisers},
author = {Martin Fluch and Ian J. Leary},
journal= {arXiv preprint arXiv:1207.1474},
year = {2014}
}
Comments
Version 2 is as accepted by Groups, Geometry and Dynamics