Boundary convex cocompactness and stability of subgroups of finitely generated groups

Matthew Cordes, Matthew Gentry Durham

A Kleinian group $\Gamma <\mathrm{Isom}({\mathbb{H}}^3)$ is called convex cocompact if any orbit of $\Gamma$ in ${\mathbb{H}}^3$ is quasiconvex or, equivalently, $\Gamma$ acts cocompactly on the convex…