2-Arc-transitive regular covers of complete graphs having the covering transformation group Z3p

被引：44

作者：

Du, SF

Kwak, JH ^{[1
]}

Xu, MY

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[2] Pohang Univ Sci & Technol, Combinatorial & Computat Math Ctr, Pohang 790784, South Korea

[3] Peking Univ, Inst Math, Lab Math & Appl Math, Beijing 100871, Peoples R China

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 2005年 / 93卷 / 01期

基金：

中国国家自然科学基金;

关键词：

arc-transitive graph; covering graph; lifting; 2-transitive group; linear group;

D O I：

10.1016/j.jctb.2003.09.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we classify all such covering graphs satisfying the following two properties: (1) the covering transformation group is isomorphic to the elementary abelian p-group Z(P)(3), and (2) the group of fiber-preserving automorphisms acts 2-arc-transitively. As a result, new infinite families of 2-arc-transitive graphs are constructed. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：73 / 93

页数：21

共 30 条

[1] SUBGROUPS OF PSL(3,Q] FOR ODD Q [J].