Groups, Geometry, and Dynamics


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Volume 8, Issue 1, 2014, pp. 135–142
DOI: 10.4171/GGD/219

Published online: 2014-05-13

An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers

Martin G. Fluch[1] and Ian J. Leary[2]

(1) Universit├Ąt Bielefeld, Germany
(2) University 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.

Keywords: Classifying spaces for families, Eilenberg–Ganea

Fluch Martin, Leary Ian: An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers. Groups Geom. Dyn. 8 (2014), 135-142. doi: 10.4171/GGD/219