The asymptotic geometry of right-angled Artin groups, I
Group Theory
2007-08-15 v1 Metric Geometry
Abstract
We study atomic right-angled Artin groups -- those whose defining graph has no cycles of length less than five, and no separating vertices, separating edges, or separating vertex stars. We show that these groups are not quasi-isometrically rigid, but that an intermediate form of rigidity does hold. We deduce from this that two atomic groups are quasi-isometric iff they are isomorphic.
Keywords
Cite
@article{arxiv.0708.1937,
title = {The asymptotic geometry of right-angled Artin groups, I},
author = {Mladen Bestvina and Bruce Kleiner and Michah Sageev},
journal= {arXiv preprint arXiv:0708.1937},
year = {2007}
}