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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.00536 |
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| _version_ | 1866917891655335936 |
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| author | Hughes, Sam Martínez-Pedroza, Eduardo |
| author_facet | Hughes, Sam Martínez-Pedroza, Eduardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_00536 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hyperbolically embedded subgroups and quasi-isometries of pairs Hughes, Sam Martínez-Pedroza, Eduardo Group Theory 20F65, 20F67 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. |
| title | Hyperbolically embedded subgroups and quasi-isometries of pairs |
| topic | Group Theory 20F65, 20F67 |
| url | https://arxiv.org/abs/2202.00536 |