Filling Length in Finitely Presentable Groups
Group Theory
2010-08-12 v1 Geometric Topology
Abstract
Filling length measures the length of the contracting closed loops in a null-homotopy. The filling length function of Gromov for a finitely presented group measures the filling length as a function of length of edge-loops in the Cayley 2-complex. We give a bound on the filling length function in terms of the log of an isoperimetric function multiplied by a (simultaneously realisable) isodiametric function.
Cite
@article{arxiv.math/0008030,
title = {Filling Length in Finitely Presentable Groups},
author = {S. Gersten and T. Riley},
journal= {arXiv preprint arXiv:math/0008030},
year = {2010}
}
Comments
10 pages, 3 figures