On Orientably Regular Non-abelian Covering Maps of the Platonic Maps

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-04-30 DOI:10.1142/s1005386722000220

Jicheng Ma

引用次数: 0

Abstract

We investigate the orientably regular non-abelian coverings of regular maps. A complete classification of dihedral coverings of the Platonic maps for branching over faces (or, dually, vertices) is given. As a result, we generalise the results of Jones and Surowski on regular cyclic coverings of the Platonic maps.

查看原文本刊更多论文

论柏拉图映射的可定向正则非阿贝尔覆盖映射

研究正则映射的可定向正则非阿贝尔覆盖。给出了在面(或对偶的顶点)上分支的柏拉图映射的二面体覆盖的完整分类。因此，我们推广了Jones和Surowski关于柏拉图映射的正则循环覆盖的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.