Hyperbolically embedded subgroups and quasi-isometries of pairs

Published 1 Feb 2022 in math.GR | (2202.00536v3)

Abstract: We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability invariance of acylindrical hyperbolicity of finitely generated groups.

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