Nilpotent groups of class two which underly a unique regular dessin
Group Theory
2018-06-13 v1
Abstract
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 transitively on the edges. In the present paper regular dessins with a nilpotent automorphism group are investigated, and attention are paid on those with the highest level of external symmetry. Depending on the algebraic theory of dessins and using group-theoretical methods, we present a classification of nilpotent groups of class two which underly a unique regular dessin.
Cite
@article{arxiv.1806.04370,
title = {Nilpotent groups of class two which underly a unique regular dessin},
author = {Kan Hu and Roman Nedela and Naer Wang},
journal= {arXiv preprint arXiv:1806.04370},
year = {2018}
}
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