English

An isoperimetric function for Stallings' group

Group Theory 2008-11-28 v3

Abstract

We prove that n7/3n^{7/3} is an isoperimetric function for a group of Stallings that is finitely presented but not of type F3\mathcal{F}_3. Note: The authors with Robert Young have now proved a quadratic Dehn function for this group. See arXiv:0712.3877

Cite

@article{arxiv.math/0612124,
  title  = {An isoperimetric function for Stallings' group},
  author = {Will Dison and Murray Elder and Timothy R Riley},
  journal= {arXiv preprint arXiv:math/0612124},
  year   = {2008}
}

Comments

15 pages, no figures. Previous bound of $n^{5/2}$ sharpened