Are free groups of different ranks bi-invariantly quasi-isometric?
| Title: | Are free groups of different ranks bi-invariantly quasi-isometric? |
|---|---|
| Authors: | Kędra, Jarek; Libman, Assaf |
| Source: | Glasgow Mathematical Journal ; volume 67, issue 3, page 356-364 ; ISSN 0017-0895 1469-509X |
| Publisher Information: | Cambridge University Press (CUP) |
| Publication Year: | 2025 |
| Description: | We prove that a homomorphism between free groups of finite rank equipped with the bi-invariant word metrics associated with finite generating sets is a quasi-isometry if and only if it is an isomorphism. |
| Document Type: | article in journal/newspaper |
| Language: | English |
| DOI: | 10.1017/s0017089524000429 |
| Availability: | https://doi.org/10.1017/s0017089524000429; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0017089524000429 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| Accession Number: | edsbas.35C2AFCB |
| Database: | BASE |