Finite quotients of groups of I-type

Fabienne Chouraqui, Eddy Godelle

    Research output: Contribution to journalArticlepeer-review


    To every group of I-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 I-type are related to finite set-theoretical solutions of the Yang-Baxter equation. So, our result provides a new tool to attack the problem of the classification of finite set-theoretical solutions of the Yang-Baxter equation.

    Original languageEnglish
    Pages (from-to)46-68
    Number of pages23
    JournalAdvances in Mathematics
    StatePublished - 20 Jun 2014

    Bibliographical note

    Funding Information:
    Both authors are partially supported by the Agence Nationale de la Recherche (projet Théorie de Garside, ANR-08-BLAN-0269-03 ). The first author was supported by the Israel Science Foundation (n o 580/07 ).


    • Garside groups
    • Set-theoretical solution of the quantum Yang-Baxter equation

    ASJC Scopus subject areas

    • Mathematics (all)


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