On subgroups of Coxeter groups
On subgroups of Coxeter groups
The virtual cohomological dimension of a finitely generated Coxeter group G over a ring R is finite and known. We characterize the infinitely generated Coxeter groups of finite vcd, we give Coxeter groups that are virtual Poincare duality groups over some rings but not over others, and we exhibit a group whose vcd over the integers is three whereas its vcd over any field is two. We also give explicit presentations and Eilenberg-Mac Lane spaces for some of Bestvina's examples of groups whose vcd depends on the choice of ring.
9780521635561
124-160
Cambridge University Press
Dicks, W.
df8fabad-4cd7-420d-aa55-0e93e8c80b6d
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
1998
Dicks, W.
df8fabad-4cd7-420d-aa55-0e93e8c80b6d
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Dicks, W. and Leary, I.J.
(1998)
On subgroups of Coxeter groups.
Kropholler, Peter H., Niblo, Graham A. and Stöhr, Ralph
(eds.)
In Geometry and Cohomology in Group Theory.
Cambridge University Press.
.
(doi:10.1017/CBO9780511666131.010).
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Conference or Workshop Item
(Paper)
Abstract
The virtual cohomological dimension of a finitely generated Coxeter group G over a ring R is finite and known. We characterize the infinitely generated Coxeter groups of finite vcd, we give Coxeter groups that are virtual Poincare duality groups over some rings but not over others, and we exhibit a group whose vcd over the integers is three whereas its vcd over any field is two. We also give explicit presentations and Eilenberg-Mac Lane spaces for some of Bestvina's examples of groups whose vcd depends on the choice of ring.
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Published date: 1998
Venue - Dates:
Durham Symposium: Geometry and Cohomology in Group Theory, Durham, United Kingdom, 1994-07-12 - 1994-07-22
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 199337
URI: http://eprints.soton.ac.uk/id/eprint/199337
ISBN: 9780521635561
PURE UUID: f359588d-fe51-4573-a3ae-c99c679ef0c2
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Date deposited: 18 Oct 2011 10:41
Last modified: 15 Mar 2024 03:36
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Contributors
Author:
W. Dicks
Editor:
Peter H. Kropholler
Editor:
Graham A. Niblo
Editor:
Ralph Stöhr
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