The geometry of cube complexes and the complexity of their fundamental groups
The geometry of cube complexes and the complexity of their fundamental groups
We investigate the geometry of geodesics in CAT(0) cube complexes. A group which acts cocompactly and properly discontinuously on such a complex is shown to have a biautomatic structure. There is a family of natural subgroups each of which is shown to be rational.
biautomatic groups, CAT(0) cube complexes, non-positive curvature
621-633
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, Lawrence D.
84a70e26-d717-4909-ad72-4c79581b3ccd
May 1998
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Reeves, Lawrence D.
84a70e26-d717-4909-ad72-4c79581b3ccd
Niblo, Graham A. and Reeves, Lawrence D.
(1998)
The geometry of cube complexes and the complexity of their fundamental groups.
Topology, 37 (3), .
(doi:10.1016/S0040-9383(97)00018-9).
Abstract
We investigate the geometry of geodesics in CAT(0) cube complexes. A group which acts cocompactly and properly discontinuously on such a complex is shown to have a biautomatic structure. There is a family of natural subgroups each of which is shown to be rational.
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Published date: May 1998
Keywords:
biautomatic groups, CAT(0) cube complexes, non-positive curvature
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Local EPrints ID: 49987
URI: http://eprints.soton.ac.uk/id/eprint/49987
ISSN: 0040-9383
PURE UUID: 1052ed3a-daf8-483e-87d3-64f54a6b33f1
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Date deposited: 10 Jan 2008
Last modified: 16 Mar 2024 02:44
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Author:
Lawrence D. Reeves
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