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.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Cambridge University Press
2023
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| _version_ | 1826311274598760448 |
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| author | Hughes, S Martínez-Pedroza, E |
| author_facet | Hughes, S Martínez-Pedroza, E |
| author_sort | Hughes, S |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T08:05:55Z |
| format | Journal article |
| id | oxford-uuid:f5d35e0e-a6df-43f4-848f-fc1a1328ed8f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:05:55Z |
| publishDate | 2023 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:f5d35e0e-a6df-43f4-848f-fc1a1328ed8f2023-10-27T09:18:28ZHyperbolically embedded subgroups and quasi-isometries of pairsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f5d35e0e-a6df-43f4-848f-fc1a1328ed8fEnglishSymplectic ElementsCambridge University Press2023Hughes, SMartínez-Pedroza, EWe 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. |
| spellingShingle | Hughes, S Martínez-Pedroza, E Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title_full | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title_fullStr | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title_full_unstemmed | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title_short | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| title_sort | hyperbolically embedded subgroups and quasi isometries of pairs |
| work_keys_str_mv | AT hughess hyperbolicallyembeddedsubgroupsandquasiisometriesofpairs AT martinezpedrozae hyperbolicallyembeddedsubgroupsandquasiisometriesofpairs |