arXiv:2202.00536 Abstract | arXiv Analytics

arXiv:2202.00536 [math.GR]Abstract References Reviews Resources

Hyperbolically embedded subgroups and quasi-isometries of pairs

Published 2022-02-01Version 1

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.

Comments: Version 1

Categories: math.GR

Subjects: 20F65, 20F67

Keywords: hyperbolically embedded subgroups, quasi-isometry, commensurability invariance, technical conditions

Related articles: Most relevant | Search more

arXiv:1111.7048 [math.GR] (Published 2011-11-30, updated 2014-12-02)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

F. Dahmani, V. Guirardel, D. Osin

arXiv:2106.15500 [math.GR] (Published 2021-06-29)

A Note on Hyperbolically Embedded Subgroups

Eduardo Martínez-Pedroza, Farhan Rashid

arXiv:2001.02027 [math.GR] (Published 2020-01-07)