Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups

Abstract

We construct examples of groups showing that virtual solvability and the property of being virtually torsion-free are not preserved by bi-Lipschitz maps and hence by quasi-isometries.

Cited by in corpus (2)

• On the asymptotic geometry of abelian-by-cyclic groups
• K-theory for generalized Lamplighter groups