Hyperbolically embedded subgroups and quasi-isometries of pairs

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.

書目詳細資料
Main Authors: Hughes, S, Martínez-Pedroza, E
格式: Journal article
語言:English
出版: Cambridge University Press 2023
實物特徵
總結: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.