Groebner-Shirshov basis for the braid semigroup

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.

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Bibliographic Details
Main Authors Bokut, L. A, Fong, Y, Ke, W. -F, Shiao, L. -S
Format Journal Article
LanguageEnglish
Published 06.06.2008
Subjects
Mathematics - Combinatorics
Mathematics - Group Theory
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Summary: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.
DOI:10.48550/arxiv.0806.1118