English

Markov and Artin normal form theorem for braid groups

Group Theory 2008-06-09 v1 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.0806.1124,
  title  = {Markov and Artin normal form theorem for braid groups},
  author = {L. A. Bokut and V. V. Chaynikov and K. P. Shum},
  journal= {arXiv preprint arXiv:0806.1124},
  year   = {2008}
}
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