A topological characterisation of hyperbolic groups-Reference-Cited by-同舟云学术

A topological characterisation of hyperbolic groups

Published:1998 Issue:3 Volume:11 Page:643-667
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Bowditch Brian

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/1998-11-03/S0894-0347-98-00264-1/S0894-0347-98-00264-1.pdf

Reference23 articles.

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4. [Bo3] B.H.Bowditch, Cut points and canonical splittings of hyperbolic groups, to appear in Acta. Math.

5. [Bo4] B.H.Bowditch, Convergence groups and configuration spaces, to appear in “Group Theory Down Under” (ed. J.Cossey, C.F.Miller, W.D.Neumann, M.Shapiro), de Gruyter.

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