Groups, Geometry, and Dynamics
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Published online: 2014-05-13
An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisersMartin G. Fluch and Ian J. Leary (1) Universität 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