Symbolic dynamics and relatively hyperbolic groups

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.

Revision, 16 pages, 1 figure

References in corpus (1)

• Accidental parabolics and relatively hyperbolic groups

Cited by in corpus (6)

• A notion of effectiveness for subshifts on finitely generated groups
• Accidental parabolics and relatively hyperbolic groups
• Primeness results for von Neumann algebras associated with surface braid groups
• Self-simulable groups
• Groups possessing extensive hierarchical decompositions
• Proper actions on ${\ell }^p$ spaces for relatively hyperbolic groups