2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162422In 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.Group TheoryCombinatoricsMarkov and Artin normal form theorem for braid groupstext