Braid Groups pp 239-272 | Cite as

Garside Monoids and Braid Monoids

  • Christian KasselEmail author
  • Vladimir Turaev
Part of the Graduate Texts in Mathematics book series (GTM, volume 247)

Braid groups may be viewed as groups of fractions of certain monoids called braid monoids. The latter belong to a wider class of so-called Garside monoids. In this chapter we investigate properties of monoids and specifically of Garside monoids. As an application, we give a solution of the conjugacy problem in the braid groups. We also discuss generalized braid groups associated with Coxeter matrices.


Word Problem Braid Group Coxeter Group Neutral Element Conjugacy Problem 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique Avancée, CNRS et Université Louis PasteurStrasbourgFrance
  2. 2.Department of MathematicsIndiana University BloomingtonBloomingtonUSA

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