Nilpotent groups of class two which underly a unique regular dessin

Kan Hu; Roman Nedela; Naer Wang

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arXiv · 1806.04370

Nilpotent groups of class two which underly a unique regular dessin

Kan Hu·Roman Nedela·Naer Wang

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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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Kan Hu, Roman Nedela, Naer Wang. 2018-06-12. Nilpotent groups of class two which underly a unique regular dessin. https://arxiv.org/abs/1806.04370

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