Geodesic
A topological characterisation of hyperbolic groups
Bowditch, Brian1
1 Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain
Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 643-667

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-98-00264-1

Bowditch, Brian 1

1 Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain 
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Bowditch, Brian. A topological characterisation of hyperbolic groups. Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 643-667. doi: 10.1090/S0894-0347-98-00264-1

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