collaborators

2 papers

math.GR2026

Torsion in asymptotic cones of free groups

Jarek Kędra, Assaf Libman, Zipei Nie

We prove that the asymptotic cone of any non-abelian free group equipped with the bi-invariant word metric has elements of order 2.

math.GR2024

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

Jarek Kędra, Assaf Libman

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.