English

Coxeter-like groups for groups of set-theoretic solutions of the Yang--Baxter equation

Group Theory 2013-05-17 v1

Abstract

We attach with every finite, involutive, nondegenerate set-theoretic solution of the Yang--Baxter equation a finite group that plays for the associated structure group the role that a finite Coxeter group plays for the associated Artin--Tits group.

Keywords

Cite

@article{arxiv.1305.3900,
  title  = {Coxeter-like groups for groups of set-theoretic solutions of the Yang--Baxter equation},
  author = {Patrick Dehornoy},
  journal= {arXiv preprint arXiv:1305.3900},
  year   = {2013}
}