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arXiv · 0712.0569

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

Jason Behrstock·Tadeusz Januszkiewicz·Walter Neumann
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Abstract

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 $S'$.

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Jason Behrstock, Tadeusz Januszkiewicz, Walter Neumann. 2007-12-04. Commensurability and QI classification of free products of finitely generated abelian groups. https://arxiv.org/abs/0712.0569

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