A counterexample to questions about boundaries, stability, and commensurability
Group Theory
2018-01-29 v3 Geometric Topology
Abstract
We construct a family of right-angled Coxeter groups which provide counter-examples to questions about the stable boundary of a group, one-endedness of quasi-geodesically stable subgroups, and the commensurability types of right-angled Coxeter groups.
Cite
@article{arxiv.1705.03984,
title = {A counterexample to questions about boundaries, stability, and commensurability},
author = {Jason Behrstock},
journal= {arXiv preprint arXiv:1705.03984},
year = {2018}
}
Comments
Added extra open questions at end of paper. This is the final post-referee version, article is to appear in Proceedings of the Beyond Hyperbolicity Conference