descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 30 Jun 2008Embargo end date: 01 Jan 2002Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Groups, Geometry, and Dynamics, volume 2, pages 165-184 (issn: 1661-7207, eissn: 1661-7215,

Authors: Dahmani, François; Yaman, Asli;

doi: 10.4171/ggd/35 , 10.48550/arxiv.math/0209010

arXiv: http://arxiv.org/abs/math/0209010

Symbolic dynamics and relatively hyperbolic groups

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Abstract

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.

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Keywords

20F69, 37D40, 37B10, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 20F67 (37B10)

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