Special Issue for Papers from the Conference in Honor of the 80th Birthday of Professor Boris I. PlotkinNo Access

MARKOV AND ARTIN NORMAL FORM THEOREM FOR BRAID GROUPS

L. A. BOKUT

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

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V. V. CHAYNIKOV

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

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, and

K. P. SHUM

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

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https://doi.org/10.1142/S0218196707003950Cited by:1 (Source: Crossref)

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.

Keywords:

AMSC: Primary 20F36, Secondary 16S15

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