arXiv 0806.11252008-06-06math.GRmath.CO

Groebner-Shirshov basis for the braid group in the Artin-Garside generators

L. A. Bokut

英文摘要：

In this paper, we give a Groebner-Shirshov basis of the braid group $B_{n+1}$ in the Artin--Garside generators. As results, we obtain a new algorithm for getting the Garside normal form, and a new proof that the braid semigroup $B^+{n+1}$ is the subsemigroup in $B_{n+1}$.

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