Gröbner-Shirshov Bases for Braid Groups in Adyan-Thurston Generators-Reference-Cited by-同舟云学术

Gröbner-Shirshov Bases for Braid Groups in Adyan-Thurston Generators

Published:2013-04-03 Issue:02 Volume:20 Page:309-318
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Chen Yuqun¹,Zhong Chanyan²

Affiliation:

1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Abstract

We give a Gröbner-Shirshov basis of the braid group Bn+1 in Adyan-Thurston generators. We also deal with the braid group of type Bn. As results, a new algorithm for getting the Adyan-Thurston normal form is obtained, and a new proof that the braid semigroup [Formula: see text] is a subsemigroup in Bn+1 is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386713000278

Reference12 articles.

1. Theorie der Zöpfe

2. Theory of Braids

3. A New Approach to the Word and Conjugacy Problems in the Braid Groups

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