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Symbolic dynamics and relatively hyperbolic groups

Francois Dahmani, Asli Yaman

math.GRarXiv:math/0209010

Abstract

We study the action of a relatively hyperbolic group on its boundary, by methods of symbolic dynamics. Under a condition on the parabolic subgroups, we show that this dynamical system is finitely presented. We give examples where this condition is satisfied, including geometrically finite kleinian groups.

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