5 papers
Complete regular dessins and skew-morphisms of cyclic groups
Yan-Quan Feng, Kan Hu, Roman Nedela +2
A dessin is a 2-cell embedding of a connected -coloured bipartite graph into an orientable closed surface. A dessin is regular if its group of orientation- and colour-preserving…
Smooth skew-morphisms of the dihedral groups
Naer Wang, Kan Hu, Kai Yuan +1
A skew-morphism of a finite group is a permutation on such that and for all where is an integer fun…
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…
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…
Complete regular dessins of odd prime power order
Kan Hu, Naer Wang, Roman Nedela
A dessin is a -cell embedding of a connected -coloured bipartite graph into an orientable closed surface. A dessin is regular if its group of colour- and orientation-preservi…