A topolological characterisation of hyperbolic groups
A topolological characterisation of hyperbolic groups
We characterise word hyperbolic groups as those groups which act properly discontinuously and cocompactly on the space of distinct triples of a compact metrisable space. This is, in turn, equivalent to a convergence group for which every point of the space is a conical limit point.
643-667
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
1998
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
Bowditch, B.H.
(1998)
A topolological characterisation of hyperbolic groups.
Journal of the American Mathematical Society, 11, .
Abstract
We characterise word hyperbolic groups as those groups which act properly discontinuously and cocompactly on the space of distinct triples of a compact metrisable space. This is, in turn, equivalent to a convergence group for which every point of the space is a conical limit point.
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Published date: 1998
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Local EPrints ID: 29766
URI: http://eprints.soton.ac.uk/id/eprint/29766
ISSN: 0894-0347
PURE UUID: 63ea37e4-1678-45bc-bb84-929b9abbe585
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Date deposited: 22 Dec 2006
Last modified: 08 Jan 2022 15:54
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B.H. Bowditch
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