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

Behrstock, Jason; Januszkiewicz, Tadeusz; Neumann, Walter

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

Authors

Behrstock, Jason

Januszkiewicz, Tadeusz

Neumann, Walter

Description

Suppose a group $G$ is quasi-isometric to a free product of a finite set $S$ of finitely generated abelian groups; let $S'$ denote the set of ranks of the free abelian parts of the groups in $S$. Then $G$ is commensurable with the free product of $\Z$ with a $\Z^n$ for each $n$ occurring in $S'$.
2 pages plus references