Tame filling invariants for groups
Group Theory
2014-10-13 v1
Abstract
A new pair of asymptotic invariants for finitely presented groups, called intrinsic and extrinsic tame filling functions, are introduced. These filling functions are quasi-isometry invariants that strengthen the notions of intrinsic and extrinsic diameter functions for finitely presented groups. We show that the existence of a (finite-valued) tame filling function implies that the group is tame combable. Bounds on both intrinsic and extrinsic tame filling functions are discussed for stackable groups, including groups with a finite complete rewriting system, Thompson's group F, and almost convex groups.
Cite
@article{arxiv.1410.2669,
title = {Tame filling invariants for groups},
author = {Mark Brittenham and Susan Hermiller},
journal= {arXiv preprint arXiv:1410.2669},
year = {2014}
}
Comments
This paper was derived from part of the paper at arXiv:1109.6309