Isoperimetric inequalities for nilpotent groups
Group Theory
2010-08-12 v1
Abstract
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
Cite
@article{arxiv.math/0201261,
title = {Isoperimetric inequalities for nilpotent groups},
author = {S. M. Gersten and D. F. Holt and T. R. Riley},
journal= {arXiv preprint arXiv:math/0201261},
year = {2010}
}
Comments
20 pages, no figures