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The equation x^py^q=z^r and groups that act freely on \Lambda-trees

By Armando Martino, Noel Brady, Laura Ciobanu and Shane O Rourke

Abstract

Let $G$ be a finitely generated group that acts freely on a $\Lambda$-tree, where $\Lambda$ is an ordered abelian group, and let $x, y, z$ be elements in $G$. We show that if $x^p y^q = z^r$ with integers $p$, $q$, $r \geq 4$, then $x$, $y$ and $z$ commute

Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:155687
Provided by: e-Prints Soton
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