An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers
Martin G. FluchUniversität Bielefeld, Germany
Ian J. LearyUniversity of Southampton, UK
In dimension 3 and above, Bredon cohomology gives an accurate 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 this article
Martin G. Fluch, Ian J. Leary, An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers. Groups Geom. Dyn. 8 (2014), no. 1, pp. 135–142DOI 10.4171/GGD/219