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

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

2008-06-06

arxiv.org/abs/0806.1125v1

Mathematics

Group Theory

Scientific paper

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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