Authors: Martin Fluch and Ian J Leary.

Martin Fluch
Affiliation: University of Bielefeld 

Ian Leary 
Affiliation: University of Southampton 

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.

Status: preprint