Geodesic
Are free groups of different ranks bi-invariantly quasi-isometric?
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 356-364

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DOI

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.
DOI : 10.1017/S0017089524000429
Mots-clés : Free group, bi-invariant metric, word metric, quasi-isometry 
Kędra, Jarek; Libman, Assaf. Are free groups of different ranks bi-invariantly quasi-isometric?. Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 356-364. doi: 10.1017/S0017089524000429
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     title = {Are free groups of different ranks bi-invariantly quasi-isometric?},
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     pages = {356--364},
     year = {2025},
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