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An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers

An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
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.
1661-7207
Fluch, Martin
334d52ca-f225-415c-8500-ab5c75e58afc
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Fluch, Martin
334d52ca-f225-415c-8500-ab5c75e58afc
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e

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

Record type: Article

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.

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Submitted date: 17 July 2012
Accepted/In Press date: 8 April 2014
e-pub ahead of print date: 5 July 2014
Published date: 2014
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 342552
URI: https://eprints.soton.ac.uk/id/eprint/342552
ISSN: 1661-7207
PURE UUID: f7e953a2-ff8b-4177-ac16-6cb34fb9e392
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979

Catalogue record

Date deposited: 06 Sep 2012 13:19
Last modified: 05 Nov 2019 01:42

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Contributors

Author: Martin Fluch
Author: Ian Leary ORCID iD

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