2019/09/25 by Naqeeb Ur Rehman, Rehman, Naqeeb ur
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.1909.12137
openalex publication_date 2019/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Hurwitz orbits are the orbits of the braid group action on the powers of a rack. Hurwitz orbits for the action of the braid group on three strands are used in \cite21 and \cite22 for the classification of Nichols algebras. This classification is based on a combinatorial invariant called plague on the Hurwitz orbits. The method to calculate plagues on the Hurwitz orbits is formulated in \cite22 by using a cellular automaton on the Hurwitz orbits and their quotients. By using this cellular automaton-based method we estimate the minimal plagues on the Hurwitz orbits.