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.

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Hughes, S, Martínez-Pedroza, E
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Cambridge University Press 2023
Тодорхойлолт
Тойм: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.