An isoperimetric function for Stallings' group

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We prove that $n^{7/3}$ is an isoperimetric function for a group of Stallings that is finitely presented but not of type $\mathcal{F}_3$. Note: The authors with Robert Young have now proved a quadratic Dehn function for this group. See arXiv:0712.3877
15 pages, no figures. Previous bound of $n^{5/2}$ sharpened

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