Nilpotent groups of class two which underly a unique regular dessin

被引：0

作者：

Kan Hu

Roman Nedela

Na-Er Wang

机构：

[1] Zhejiang Ocean University,School of Mathematics, Physics and Information Science

[2] Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province,Faculty of Natural Sciences

[3] Matej Bel University,Institute of Mathematics and Computer Science

[4] Slovak Academy of Sciences,undefined

来源：

Geometriae Dedicata | 2015年 / 179卷

关键词：

Regular dessin; Nilpotent group; Dessin operation ; External symmetry; Primary 14H57; Secondary 14H37; 20B25; 30F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：177 / 186

页数：9

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