  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.
