An Elenberg-Ganea phenomenon for actions with virtually cyclic stabilizers


Fluch, Martin and Leary, Ian (2012) An Elenberg-Ganea phenomenon for actions with virtually cyclic stabilizers. Groups Geometry and Dynamics, 8 (doi:10.4171/GGD/219).

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Description/Abstract

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)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences
ePrint ID: 342552
Accepted Date and Publication Date:
Status
17 July 2012Submitted
8 April 2014Accepted
5 July 2014Made publicly available
Date Deposited: 06 Sep 2012 13:19
Last Modified: 31 Mar 2016 13:11
URI: http://eprints.soton.ac.uk/id/eprint/342552

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