An Isoperimetric Function for Bestvina-Brady Groups
Group Theory
2008-12-17 v2 Geometric Topology
Abstract
Given a right-angled Artin group A, the associated Bestvina-Brady group is defined to be the kernel of the homomorphism A \to \mathbb{Z} that maps each generator in the standard presentation of A to a fixed generator of \mathbb{Z}. We prove that the Dehn function of an arbitrary finitely presented Bestvina-Brady group is bounded above by n^4. This is the best possible universal upper bound.
Keywords
Cite
@article{arxiv.0705.4220,
title = {An Isoperimetric Function for Bestvina-Brady Groups},
author = {Will Dison},
journal= {arXiv preprint arXiv:0705.4220},
year = {2008}
}