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A topological characterisation of hyperbolic groups
Author(s):
Brian
H.
Bowditch
Journal:
J. Amer. Math. Soc.
11
(1998),
643-667.
MSC (1991):
Primary 20F32
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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