Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424030 | European Journal of Combinatorics | 2016 | 11 Pages |
Abstract
A map is a 2-cell embedding of a connected graph into a closed surface. A map is orientable if the supporting surface is orientable. An orientable map is regular if its group of orientation-preserving automorphisms acts transitively on the darts. Using an equivalent algebraic description of regular maps and their coverings, we employ the theory of group extensions to classify the almost totally branched coverings of the platonic maps with non-abelian covering transformation groups, generalising the results of Hu, Nedela and Wang.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Kan Hu, Gareth A. Jones, Roman Nedela, Na-Er Wang,