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arXiv · 2202.00536

Hyperbolically embedded subgroups and quasi-isometries of pairs

Sam Hughes·Eduardo Martínez-Pedroza
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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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Sam Hughes, Eduardo Martínez-Pedroza. 2022-02-01. Hyperbolically embedded subgroups and quasi-isometries of pairs. https://doi.org/10.4153/s0008439523000012

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