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.

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Hughes, S, Martínez-Pedroza, E
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Cambridge University Press 2023
Cur síos
Achoimre: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.