The geometry of purely loxodromic subgroups of right-angled artin groups
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/4968
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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.
Citation to related workAmerican Mathematical Society (AMS)
Has partTransactions of the American Mathematical Society
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