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

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.

Cited by in corpus (3)

• Finite quotients of groups of I-type
• About left orders in Garside groups
• Construction of a group of automorphisms for an infinite family of Garside groups