Nilpotent groups of class two which underly a unique regular dessin

2018/06/12 by Kan Hu, Hu, Kan, Roman Nedela +3
Engineering · Mathematics · #14H37 #14H57 #20B25 #30F10 #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1806.04370

openalex publication_date 2018/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A dessin is an embedding of connected bipartite graph into an oriented closed surface. A dessin is regular if its group of colour- and orientation-preserving automorphisms acts transitively on the edges. In the present paper regular dessins with a nilpotent automorphism group are investigated, and attention are paid on those with the highest level of external symmetry. Depending on the algebraic theory of dessins and using group-theoretical methods, we present a classification of nilpotent groups of class two which underly a unique regular dessin.

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