Tullia Dymarz

Finitely generated groups can be treated as geometric objects by considering their Cayley graphs with respect to finite generating sets. All such graphs are quasi-isometrically equivalent. In the 80s, Gromov proposed studying finitely generated...

Finitely generated groups can be treated as geometric objects by considering their Cayley graphs with respect to finite generating sets. All such graphs are quasi-isometrically equivalent. In the 80s, Gromov proposed studying finitely generated...

We give an example of two finitely generated quasi-isometric groups that are not bilipschitz equivalent. The proof involves structure of quasi-isometries from rigidity theorems, analysis of bilipschitz maps of the n-adics and uniformly finite...