An Elenberg-Ganea phenomenon for actions with virtually cyclic stabilizers

Fluch, Martin and Leary, Ian (2014) An Elenberg-Ganea phenomenon for actions with virtually cyclic stabilizers. Groups Geometry and Dynamics, 8 (doi:10.4171/GGD/219).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.4171/GGD/219
ISSNs: 1661-7207 (print)
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Subjects: Q Science > QA Mathematics
Divisions: Faculty of Social and Human Sciences > Mathematical Sciences
ePrint ID: 342552
Date Deposited: 06 Sep 2012 13:19
Last Modified: 09 Feb 2016 10:13

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