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| 一类非正规Cayley有向图 | |
| 引用本文： | 冯衍全,王殿军,陈景林.一类非正规Cayley有向图[J].数学学报,2003,46(1):103-108. |
| 作者姓名： | 冯衍全 王殿军 陈景林 |
| 作者单位： | 1. 北方交通大学数学系,北京,100044 2. 清华大学数学系,北京,100084 3. 唐山师范学院数学系,唐山,063000 |
| 基金项目： | 留学归国人员科研启动基金，教育部优秀青年教师资助计划 |
| 摘 要： | 本文研究了2p2(p奇素数)阶非交换群上两度Cayley有向图的正规性,发现 了一无限族非正规的Cayley有向图. |
| 关 键 词： | Cayley图 正轨Cayley有向图 |
| 文章编号： | 0583-1431(2003)01-0103-06 |
| 修稿时间： | 1998年2月23日 |
A Family of Nonnormal Cayley Digraphs |
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| Yan Quan FENG.A Family of Nonnormal Cayley Digraphs[J].Acta Mathematica Sinica,2003,46(1):103-108. | |
| Authors: | Yan Quan FENG |
| Institution: | Yan Quan FENG(Department of Mathematics, Northern Jiaotong University, Beijing 100044, P. R. China) (E-mail: ygfeng@center.njfu.edu.cn)Dian Jun WANG (Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China)Jing Lin CHEN (Department of Mathematics, Tangshan Normal College, Tangshan 063000, P. R. China) |
| Abstract: | We call a Cayley digraph (?)= Cay(G, S) normal for G if GR, the right regular representation of G, is a normal subgroup of the full automorphism group Aut(?) of (?). In this paper we determine the normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p2 (p odd prime). As a result, a family of nonnormal Caylay digraphs is found. |
| Keywords: | Cayley digraph Normal Cayley digraph |
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