Groups, Geometry, and Dynamics
Full-Text PDF (196 KB) | Metadata | Table of Contents | GGD summary
Published online: 2008-06-30
Symbolic dynamics and relatively hyperbolic groupsFrançois Dahmani and Asli Yaman (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