Fixed-point-free involutions on the boundaries of Right-angled Coxeter Groups
Group Theory
2025-03-18 v1 Geometric Topology
Abstract
About 20 years ago, Bogdan Nica conjectured that the boundary of any word-hyperbolic group admits admits a fixed-point-free involution. In this very short article, we prove a variation of the conjecture, replacing word-hyperbolic groups with Right-angled coxeter groups. This is not a solution to Nica's conjecture, but hopefully the techniques will shed some light regarding possible approaches to the problem.
Keywords
Cite
@article{arxiv.2503.11725,
title = {Fixed-point-free involutions on the boundaries of Right-angled Coxeter Groups},
author = {Aditya De Saha},
journal= {arXiv preprint arXiv:2503.11725},
year = {2025}
}
Comments
3 pages