An isoperimetric function for Stallings' group

Will Dison; Murray Elder; Timothy R Riley

An isoperimetric function for Stallings' group

群论 2008-11-28 v3

作者: Will Dison , Murray Elder , Timothy R Riley

摘要

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

引用

@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}
}

备注

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

相关论文

查看更多相关论文 →