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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

A topological characterisation
of hyperbolic groups


Author: Brian H. Bowditch
Journal: J. Amer. Math. Soc. 11 (1998), 643-667
MSC (1991): Primary 20F32
MathSciNet review: 1602069
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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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Additional Information

Brian H. Bowditch
Affiliation: Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain
Email: bhb@maths.soton.ac.uk

DOI: http://dx.doi.org/10.1090/S0894-0347-98-00264-1
PII: S 0894-0347(98)00264-1
Received by editor(s): March 20, 1997
Received by editor(s) in revised form: February 2, 1998
Article copyright: © Copyright 1998 American Mathematical Society