Commensurability and QI classification of free products of finitely generated abelian groups

Jason Behrstock, Tadeusz Januszkiewicz, Walter Neumann

Suppose a group $G$ is quasi-isometric to a free product of a finite set $S$ of finitely generated abelian groups; let $S^{\prime }$ denote the set of ranks of the free abelian parts of the…