English

Finite quotients of groups of I-type

Group Theory 2024-11-20 v1

Abstract

To every group of II-type, we associate a finite quotient group that plays the role that Coxeter groups play for Artin-Tits groups. Since groups of I-type are examples of Garside groups, this answers a question of D. Bessis in the particular case of groups of I-type. Groups of II-type are related to finite set theoretical solutions of the Yang-Baxter equation.

Keywords

Cite

@article{arxiv.1301.3707,
  title  = {Finite quotients of groups of I-type},
  author = {Fabienne Chouraqui and Eddy Godelle},
  journal= {arXiv preprint arXiv:1301.3707},
  year   = {2024}
}