Braid Groups pp 239-272 | Cite as
Garside Monoids and Braid Monoids
Chapter
First Online:
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.
Keywords
Word Problem Braid Group Coxeter Group Neutral Element Conjugacy Problem
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Copyright information
© Springer Science+Business Media, LLC 2008