Hyperbolically embedded subgroups and quasi-isometries of pairs
Group Theory
2025-01-15 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2202.00536,
title = {Hyperbolically embedded subgroups and quasi-isometries of pairs},
author = {Sam Hughes and Eduardo Martínez-Pedroza},
journal= {arXiv preprint arXiv:2202.00536},
year = {2025}
}
Comments
Version 3. Added some discussion and open questions in new Section 6, to appear in Canadian Mathematical Bulletin, 18 pages. Version 2. Minor typos were corrected