Groups, Geometry, and Dynamics

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Volume 2, Issue 2, 2008, pp. 165–184
DOI: 10.4171/GGD/35

Published online: 2008-06-30

Symbolic dynamics and relatively hyperbolic groups

François Dahmani[1] and Asli Yaman[2]

(1) Université de Grenoble I, Saint-Martin-D'hères, France
(2) Centre de Recerca Matemàtica, Bellaterra, Spain

We study the action of a relatively hyperbolic group on its boundary by methods of symbolic dynamics. We show that this dynamical system is expansive, and, under a condition on parabolic subgroups (satisfied in most examples), that it is finitely presented, meaning that it can be factorized through a subshift of finite type.

Keywords: Relatively hyperbolic groups, symbolic dynamics

Dahmani François, Yaman Asli: Symbolic dynamics and relatively hyperbolic groups. Groups Geom. Dyn. 2 (2008), 165-184. doi: 10.4171/GGD/35