The cohomology of Bestvina–Brady groups
The cohomology of Bestvina–Brady groups
For all subcomplexes of the standard CW-structure on any product of circles, we compute the homology of a certain infinite cyclic regular covering space. When the homology is finitely generated, we also compute the cohomology ring. In the special case when the subcomplex is aspherical, this is the homology of a Bestvina-Brady group. We compute the cohomological dimension of each of these groups.
121-138
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Saadetoğlu, Müge
c048aad5-c9c3-4cee-9edd-c8b16248c18e
2011
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Saadetoğlu, Müge
c048aad5-c9c3-4cee-9edd-c8b16248c18e
Leary, Ian J. and Saadetoğlu, Müge
(2011)
The cohomology of Bestvina–Brady groups.
Groups, Geometry and Dynamics, 5 (1), .
(doi:10.4171/GGD/118).
Abstract
For all subcomplexes of the standard CW-structure on any product of circles, we compute the homology of a certain infinite cyclic regular covering space. When the homology is finitely generated, we also compute the cohomology ring. In the special case when the subcomplex is aspherical, this is the homology of a Bestvina-Brady group. We compute the cohomological dimension of each of these groups.
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Published date: 2011
Organisations:
Pure Mathematics
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Local EPrints ID: 199403
URI: http://eprints.soton.ac.uk/id/eprint/199403
ISSN: 1661-7207
PURE UUID: 21330432-73fb-48bf-9cc2-e6ea98dc5b3b
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Date deposited: 18 Oct 2011 10:10
Last modified: 15 Mar 2024 03:36
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Author:
Müge Saadetoğlu
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