J. Kędra

collaborators

3 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.GT2026

On quasimorphisms and distortion in homeomorphism groups

Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1

Let $M$ be a smooth compact oriented connected manifold, and $Homeo_{0} (M, I^¼)$ the group of homeomorphisms of $M$ supported away from $\partial M,$ which preserve a Borel proba…

math.GR2024

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

Jarek KÄdra, 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.