English

Coxeter groups are biautomatic

Group Theory 2022-06-28 v2

Abstract

We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of buildings are biautomatic.

Keywords

Cite

@article{arxiv.2206.07804,
  title  = {Coxeter groups are biautomatic},
  author = {Damian Osajda and Piotr Przytycki},
  journal= {arXiv preprint arXiv:2206.07804},
  year   = {2022}
}

Comments

10 pages, 2 figures; v2 minor changes

R2 v1 2026-06-24T11:53:00.117Z