Naer Wang

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math.GR2018

Smooth skew-morphisms of the dihedral groups

Naer Wang, Kan Hu, Kai Yuan +1

A skew-morphism $φ$ of a finite group $A$ is a permutation on $A$ such that $φ (1) = 1$ and $φ (x y) = φ (x) φ^{π (x)} (y)$ for all $x, y \in A$ where $π : A \to Z_{∣ φ ∣}$ is an integer fun…

math.GR2018

Regular dessins uniquely determined by a nilpotent automorphism group

Naer Wang, Roman Nedela, Kan Hu

It is well known that the automorphism group of a regular dessin is a two-generator finite group, and the isomorphism classes of regular dessins with automorphism groups isomorphic…

math.GR2018

Nilpotent groups of class two which underly a unique regular dessin

Kan Hu, Roman Nedela, Naer Wang

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 tra…