Do you want to publish a course? Click here

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

153   0   0.0 ( 0 )
 Added by Leonid Bokut
 Publication date 2008
  fields
and research's language is English
 Authors L. A. Bokut




Ask ChatGPT about the research

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 $B_{n+1}$.



rate research

Read More

156 - L. A. Bokut 2008
In this paper, we obtain Groebner-Shirshov (non-commutative Grobner) bases for the braid groups in the Birman-Ko-Lee generators enriched by new ``Garside word $delta$. It gives a new algorithm for getting the Birman-Ko-Lee Normal Form in the braid groups, and thus a new algorithm for solving the word problem in these groups.
139 - L. A. Bokut , Y. Fong , W.-F. Ke 2008
We found Groebner-Shirshov basis for the braid semigroup $B^+_{n+1}$. It gives a new algorithm for the solution of the word problem for the braid semigroup and so for the braid group.
172 - Yuqun Chen , Jianjun Qiu 2008
In this paper, a Groebner-Shirshov basis for the Chinese monoid is obtained and an algorithm for the normal form of the Chinese monoid is given.
107 - Yuqun Chen , Chanyan Zhong 2008
In this paper, we generalize the Shirshovs Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a group and the alternating group are obtained.
In this paper we will present the results of Artin--Markov on braid groups by using the Groebner--Shirshov basis. As a consequence we can reobtain the normal form of Artin--Markov--Ivanovsky as an easy corollary.
comments
Fetching comments Fetching comments
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا