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.
Cite this article
François Dahmani, Asli Yaman, Symbolic dynamics and relatively hyperbolic groups. Groups Geom. Dyn. 2 (2008), no. 2, pp. 165–184DOI 10.4171/GGD/35