Automorphism Groups of 2-Valent Connected Cayley Digraphs on Regular p-Groups

被引：0

作者：

Yan-Quan Feng

Ru-Ji Wang

Ming-Yao Xu

机构：

[1] Department of Mathematics,

[2] Northern Jiaotong University,undefined

[3] Beijing 100044,undefined

[4] P.R. China e-mail: yqfeng@center.njtu.edu.cn,undefined

[5] Department of Mathematics,undefined

[6] Capital Normal University,undefined

[7] Beijing 100037,undefined

[8] P.R. China,undefined

[9] Department of Mathematics,undefined

[10] Peking University,undefined

[11] Beijing 100871,undefined

[12] P.R. China e-mail: xumy@math.pku.edu.cn,undefined

来源：

Graphs and Combinatorics | 2002年 / 18卷

关键词：

Key words. Cayley digraph, Normal Cayley digraph, p-Group, Regular p-group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let X=Cay(G,S) be a 2-valent connected Cayley digraph of a regular p-group G and let GR be the right regular representation of G. It is proved that if GR is not normal in Aut(X) then X≅\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}[2K1] with n>1, Aut(X) ≅Z2wrZ2n, and either G=Z2n+1=<a> and S={a,a2n+1}, or G=Z2n×Z2=<a>×<b> and S={a,ab}.

引用

页码：253 / 257

页数：4

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