An isoperimetric function for Stallings' group

Abstract

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

Cited by in corpus (1)

• A Subgroup of a Direct Product of Free Groups whose Dehn Function has a Cubic Lower Bound