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- W2477500057 abstract "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 hull of its limit set in $partial mathbb H^3$. Subgroup stability is a strong quasiconvexity condition in finitely generated groups which is intrinsic to the geometry of the ambient group and generalizes the classical quasiconvexity condition above. Importantly, it coincides with quasiconvexity in hyperbolic groups and convex cocompactness in mapping class groups. Using the Morse boundary, we develop an equivalent characterization of subgroup stability which generalizes the above boundary characterization from Kleinian groups." @default.
- W2477500057 created "2016-08-23" @default.
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- W2477500057 date "2016-07-29" @default.
- W2477500057 modified "2023-09-27" @default.
- W2477500057 title "Boundary convex cocompactness and stability of subgroups of finitely generated groups" @default.
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