Adyan-Thurston生成元中辫群的Gröbner-Shirshov基
Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators
摘要：
本文给出了Adyan-Thurston生成元中辫群$B_{n+1}$的Gröbner-Shirshov基.我们还研究了$\bf{B}_{n}$型辫群.由此得到了Adyan-Thurston规范形的一个新算法，并证明了辫子半群$B^+_{n+1}$是$B_{n+1}$的子半群.
英文摘要：
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 $B_{n+1}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
