Abstract
In this article, 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.
Mathematics Subject Classification:
ACKNOWLEDGMENT
Bokut is supported in part by the Russia's Fund for Fundamental Research and the Leading Scientific Schools Fund. The research of the third author is partially supported by a RGC grant (CUHK) #2060297 (05-07).
Notes
Communicated by A. I. Zelmanov.
∗Dedicated to 80th birthday of Boris Isaakovich Plotkin.