2024/04/06 by Gemma Crowe, Crowe, Gemma
Mathematics · #20F10 #20F36 #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2404.04705
openalex publication_date 2024/04/06 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In this second paper we solve the twisted conjugacy problem for even dihedral Artin groups, that is, groups with presentation G(m) = ⟨ a,b | m(a,b) = m(b,a) ⟩, where m ≥ 2 is even, and m(a,b) is the word abab… of length m. Similar to odd dihedral Artin groups, we prove orbit decidability for all subgroups A ≤ Aut(G(m)), which then implies that the conjugacy problem is solvable in extensions of even dihedral Artin groups.