MARKOV AND ARTIN NORMAL FORM THEOREM FOR BRAID GROUPS-Reference-Cited by-同舟云学术

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MARKOV AND ARTIN NORMAL FORM THEOREM FOR BRAID GROUPS

Published:2007-08 Issue:05n06 Volume:17 Page:951-961
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BOKUT L. A.¹,CHAYNIKOV V. V.²,SHUM K. P.³

Affiliation:

1. Sobolev Institute of Mathematics, Akad. Koptyug prosp., 4, 630090 Novosibirsk, Russia

2. Faculty of Mathematics and Mechanics, Novosibirsk State University, 630090 Novosibirsk, Russia

3. Faculty of Science, The Chinese University of Hong Kong, Hong Kong, SAR, China

Abstract

In this paper we will present the results of Artin–Markov on braid groups by using the Gröbner–Shirshov basis. As a consequence we can reobtain the normal form of Artin–Markov–Ivanovsky as an easy corollary.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196707003950

Reference11 articles.

1. Theorie der Zöpfe

2. Theory of Braids

3. The diamond lemma for ring theory

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. INTERNET SECURITY APPLICATIONS OF GRÖBNER-SHIRSHOV BASES;Asian-European Journal of Mathematics;2010-09

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