On dimensions of groups with cocompact classifying spaces for proper actions
On dimensions of groups with cocompact classifying spaces for proper actions
We construct groups G that are virtually torsion-free and have virtual cohomological dimension strictly less than the minimal dimension for any model for the classifying space for proper actions of G. They are the first examples that have these properties and also admit cocompact models for this classifying space. We exhibit groups G whose virtual cohomological dimension and Bredon cohomological dimension are two that do not admit any 2-dimensional contractible proper G-CW-complex.
730-747
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
30 April 2017
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Leary, Ian J. and Petrosyan, Nansen
(2017)
On dimensions of groups with cocompact classifying spaces for proper actions.
Advances in Mathematics, 311, .
(doi:10.1016/j.aim.2017.03.008).
Abstract
We construct groups G that are virtually torsion-free and have virtual cohomological dimension strictly less than the minimal dimension for any model for the classifying space for proper actions of G. They are the first examples that have these properties and also admit cocompact models for this classifying space. We exhibit groups G whose virtual cohomological dimension and Bredon cohomological dimension are two that do not admit any 2-dimensional contractible proper G-CW-complex.
Text
Bredon_RACG_6_toArx.pdf
- Author's Original
Text
Bredon_RACG_revise.pdf
- Author's Original
Text
Bredon_RACG_revise.pdf
- Accepted Manuscript
More information
Submitted date: 17 April 2015
Accepted/In Press date: 7 March 2017
e-pub ahead of print date: 5 April 2017
Published date: 30 April 2017
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 375974
URI: http://eprints.soton.ac.uk/id/eprint/375974
ISSN: 0001-8708
PURE UUID: bf13a7f5-680a-49a2-a8b9-9cedd5f932e2
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Date deposited: 21 Apr 2015 13:08
Last modified: 15 Mar 2024 05:15
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