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arXiv · 2407.18027

Are free groups of different ranks bi-invariantly quasi-isometric?

Jarek Kędra·Assaf Libman
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Abstract

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.

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Jarek Kędra, Assaf Libman. 2024-07-25. Are free groups of different ranks bi-invariantly quasi-isometric?. https://arxiv.org/abs/2407.18027

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