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

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

2007-12-04

arxiv.org/abs/0712.0569v1

Proc. Amer. Math. Soc. 137 (2009), 811-813

Mathematics

Group Theory

2 pages plus references

Scientific paper

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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