JournalsggdVol. 8, No. 1pp. 135–142

An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers

  • Martin G. Fluch

    Universität Bielefeld, Germany
  • Ian J. Leary

    University of Southampton, UK
An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers cover

Abstract

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. 135–142

DOI 10.4171/GGD/219