Finite quotients of groups of I-type

Fuente: arXiv
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Hauptverfasser: Chouraqui, Fabienne, Godelle, Eddy
Format: Preprint
Veröffentlicht: 2013
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author Chouraqui, Fabienne
Godelle, Eddy
author_facet Chouraqui, Fabienne
Godelle, Eddy
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1301_3707
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Finite quotients of groups of I-type
Chouraqui, Fabienne
Godelle, Eddy
Group Theory
16T25, 20F26
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.
title Finite quotients of groups of I-type
topic Group Theory
16T25, 20F26
url https://arxiv.org/abs/1301.3707