Mathematics > Group Theory
[Submitted on 4 Dec 2007]
Title:Commensurability and QI classification of free products of finitely generated abelian groups
View PDFAbstract: 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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