English

$\mathrm{CAT}(0)$ Extensions of Right-angled Coxeter Groups

Group Theory 2015-12-03 v1

Abstract

We show that any split extension of a right-angled Coxeter group WΓW_{\Gamma} by a generating automorphism of finite order acts faithfully and geometrically on a CAT(0)\mathrm{CAT}(0) metric space.

Keywords

Cite

@article{arxiv.1508.05403,
  title  = {$\mathrm{CAT}(0)$ Extensions of Right-angled Coxeter Groups},
  author = {Charles Cunningham and Andy Eisenberg and Adam Piggott and Kim Ruane},
  journal= {arXiv preprint arXiv:1508.05403},
  year   = {2015}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-22T10:39:09.264Z