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The geometry of purely loxodromic subgroups of right-angled artin groups
Koberda, T Mangahas, J Taylor, SJ
Koberda, T
Mangahas, J
Taylor, SJ
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2017-01-01
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10.1090/tran/6933
Abstract
© 2017 American Mathematical Society. We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group A(Γ) fulfill equivalent conditions that parallel characterizations of convex cocompactness in mapping class groups Mod(S). In particular, such subgroups are quasiconvex in A(Γ). In addition, we identify a milder condition for a finitely generated subgroup of A(Γ) that guarantees it is free, undistorted, and retains finite generation when intersected with A(Λ) for subgraphs Λ of Γ. These results have applications to both the study of convex cocompactness in Mod(S) and the way in which certain groups can embed in right-angled Artin groups.
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Transactions of the American Mathematical Society
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