2006/05/10 by Evgenij Esyp, Esyp, Evgenij, Ilya Kazachkov +1
Computer Science · Mathematics · #20F36 #Cellular Automata and Applications #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #msc:20F36
paper · pdf · doi:10.48550/arxiv.math/0605268
23 pages, 17 figures
arxiv created 2006/05/10 · openalex publication_date 2006/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct a gathering process by the means of which we obtain new normal forms in braid groups. The new normal forms generalise Artin-Markoff normal forms and possess an extremely natural geometric description. In the two last sections of the paper we discuss the implementation of the introduced gathering process and the questions that arose in our work. This discussion leads us to some interesting observations, in particular, we offer a method of generating a random braid.