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arXiv · 0909.3639

Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators

Yuqun Chen·Chanyan Zhong
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Abstract

In this paper, we give a Gröbner-Shirshov basis of the braid group $B_{n+1}$ in Adyan-Thurston generators. We also deal with the braid group of type $\bf{B}_{n}$. As results, we obtain a new algorithm for getting the Adyan-Thurston normal form, and a new proof that the braid semigroup $B^+_{n+1}$ is the subsemigroup in $B_{n+1}$.

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Yuqun Chen, Chanyan Zhong. 2009-09-20. Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators. https://arxiv.org/abs/0909.3639

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