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arXiv · 1301.3707

Finite quotients of groups of I-type

Fabienne Chouraqui·Eddy Godelle
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Abstract

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.

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Fabienne Chouraqui, Eddy Godelle. 2013-01-16. Finite quotients of groups of I-type. https://doi.org/10.1016/j.aim.2014.02.009

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