Totally symmetric dessins with nilpotent automorphism groups of class three
Geometric Topology
2015-11-24 v1
Abstract
A dessin is a 2-cell embedding of a connected bipartite graph into an orientable closed surface. An automorphism of a dessin is a permutation of the edges of the underlying graph which preserves the colouring of the vertices and extends to an orientation-preserving self-homeomorphism of the supporting surface. A dessin is regular if its automorphism group is transitive on the edges, and a regular dessin is totally symmetric if it is invariant under all dessin operations. Thus totally symmetric dessins possesses the highest level of external symmetry. In this paper we present a classification of totally symmetric dessins with a nilpotent automorphism group of class three
Keywords
Cite
@article{arxiv.1511.06863,
title = {Totally symmetric dessins with nilpotent automorphism groups of class three},
author = {Na-Er Wang and Roman Nedela and Kan Hu},
journal= {arXiv preprint arXiv:1511.06863},
year = {2015}
}
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