English

Groebner-Shirshov basis for the braid semigroup

Group Theory 2008-06-09 v1 Combinatorics

Abstract

We found Groebner-Shirshov basis for the braid semigroup Bn+1+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.

Keywords

Cite

@article{arxiv.0806.1118,
  title  = {Groebner-Shirshov basis for the braid semigroup},
  author = {L. A. Bokut and Y. Fong and W. -F. Ke and L. -S. Shiao},
  journal= {arXiv preprint arXiv:0806.1118},
  year   = {2008}
}
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