Right-angled Coxeter groups with non-planar boundary
Geometric Topology
2019-02-07 v1 Group Theory
Abstract
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every boundary of the associated right-angled Coxeter group, although it does in many cases. Our techniques yield a characterization of the triangle-free defining graphs such that the associated right-angled Coxeter group has boundary a Menger curve.
Keywords
Cite
@article{arxiv.1902.01029,
title = {Right-angled Coxeter groups with non-planar boundary},
author = {Pallavi Dani and Matthew Haulmark and Genevieve Walsh},
journal= {arXiv preprint arXiv:1902.01029},
year = {2019}
}