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• W1567794063 abstract "We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group $A(Gamma)$ fulfill equivalent conditions that parallel characterizations of convex cocompactness in mapping class groups $text{Mod}(S)$. In particular, such subgroups are quasiconvex in $A(Gamma)$. In addition, we identify a milder condition for a finitely generated subgroup of $A(Gamma)$ that guarantees it is free, undistorted, and retains finite generation when intersected with $A(Lambda)$ for subgraphs $Lambda$ of $Gamma$. These results have applications to both the study of convex cocompactness in $text{Mod}(S)$ and the way in which certain groups can embed in right-angled Artin groups." @default.
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• W1567794063 date "2014-12-11" @default.
• W1567794063 modified "2023-09-23" @default.
• W1567794063 title "The geometry of purely loxodromic subgroups of right-angled Artin groups" @default.
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