Are free groups of different ranks bi-invariantly quasi-isometric?
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909437326786560 |
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| author | Kędra, Jarek Libman, Assaf |
| author_facet | Kędra, Jarek Libman, Assaf |
| contents | We prove that a homomorphism between free groups of finite rank equipped with the bi-invariant word metrics is a quasi-isometry if and only if it is an isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18027 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Are free groups of different ranks bi-invariantly quasi-isometric? Kędra, Jarek Libman, Assaf Group Theory We prove that a homomorphism between free groups of finite rank equipped with the bi-invariant word metrics is a quasi-isometry if and only if it is an isomorphism. |
| title | Are free groups of different ranks bi-invariantly quasi-isometric? |
| topic | Group Theory |
| url | https://arxiv.org/abs/2407.18027 |