11 citations · 23 across the 21 of their papers we have counts for
4 papers · 1 filter
Computing equivalence classes of finite group actions on orientable surfaces: A dynamic survey
Ján Karabáš, Roman Nedela, Mária Skyvová
This paper focuses on the classification of classes of topological equivalence of finite group actions on Riemann surfaces. By the Riemann-Hurwitz bound, there are just finitely ma…
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…
2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs
Shaofei Du, Gareth Jones, Jin Ho Kwak +2
We classify those 2-groups G which factorise as a product of two disjoint cyclic subgroups A and B, transposed by an automorphism of order 2. The case where G is metacyclic having…