Lifting graph automorphisms along solvable regular covers

被引：0
|
作者：
Chen, Haimiao [1 ]
Kwak, Jin Ho [2 ,3 ]
机构：
[1] Beijing Technol & Business Univ, Math, Beijing 100037, Peoples R China
[2] Beijing Jiaotong Univ, Math, Beijing 100044, Peoples R China
[3] POSTECH, Math, Pohang 790784, South Korea
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2016年 / 51卷
基金：
新加坡国家研究基金会;
关键词：
VOLTAGE ASSIGNMENTS; PLATONIC MAPS; CUBIC GRAPHS;
D O I：
10.1016/j.ejc.2015.08.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A solvable cover of a graph is a regular cover whose covering transformation group is solvable. In this paper, we show that a solvable cover of a graph can be decomposed into layers of abelian covers, and also, a lift of a given automorphism of the base graph of a solvable cover can be decomposed into layers of lifts of the automorphism in the layers of the abelian covers. This procedure is applied to classify metacyclic covers of the tetrahedron branched at face-centers. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：519 / 532
页数：14
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