A finite presentation for the action of a relatively hyperbolic group on its boundary

A. Yaman & F. Dahmani

Let $\Gamma$ be a relatively hyperbolic group. We describe a condition on the compactifications of its maximal parabolic subgroups, which enables us to construct a subshift of finite type presenting the dynamical system of $\Gamma$ on its boundary. We also give examples where this condition is satisfied.