Coxeter Groups act on CAT(0) cube complexes
Coxeter Groups act on CAT(0) cube complexes
We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite, finite dimensional CAT(0) cube complex. For any word hyperbolic or right angled Coxeter group we prove that the cubing is cocompact. We show how the local structure of the cubing is related to the partial order studied by Brink and Howlett in their proof of automaticity for Coxeter groups.
399-413
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, L.D.
b7a010a8-6b17-4b01-9c13-7711316caed4
2003
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, L.D.
b7a010a8-6b17-4b01-9c13-7711316caed4
Niblo, G.A. and Reeves, L.D.
(2003)
Coxeter Groups act on CAT(0) cube complexes.
Journal of Group Theory, 6 (3), .
(doi:10.1515/jgth.2003.028).
Abstract
We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite, finite dimensional CAT(0) cube complex. For any word hyperbolic or right angled Coxeter group we prove that the cubing is cocompact. We show how the local structure of the cubing is related to the partial order studied by Brink and Howlett in their proof of automaticity for Coxeter groups.
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Published date: 2003
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Local EPrints ID: 29819
URI: http://eprints.soton.ac.uk/id/eprint/29819
ISSN: 1433-5883
PURE UUID: 8c5d4d90-d2df-48ad-b9a6-1f075ddb067c
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Date deposited: 12 May 2006
Last modified: 16 Mar 2024 02:44
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Author:
L.D. Reeves
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