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.

Detalles Bibliográficos
Autores principales: Hughes, S, Martínez-Pedroza, E
Formato: Journal article
Lenguaje:English
Publicado: Cambridge University Press 2023
Descripción
Sumario: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.