Geodesic
Hyperbolically embedded subgroups and quasi-isometries of pairs
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 827-843

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DOI

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.
DOI : 10.4153/S0008439523000012
Mots-clés : Quasi-isometries of pairs, hyperbolically embedded subgroups, acylindrically hyperbolic group 
Hughes, Sam; Martínez-Pedroza, Eduardo. Hyperbolically embedded subgroups and quasi-isometries of pairs. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 827-843. doi: 10.4153/S0008439523000012
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     title = {Hyperbolically embedded subgroups and quasi-isometries of pairs},
     journal = {Canadian mathematical bulletin},
     pages = {827--843},
     year = {2023},
     volume = {66},
     number = {3},
     doi = {10.4153/S0008439523000012},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000012/}
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