| 6p阶2度有向Cayley图的正规性 |
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| 引用本文： | 姬强,冯衍全.6p阶2度有向Cayley图的正规性[J].系统科学与数学,2009,29(2):153-161. |
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| 作者姓名： | 姬强 冯衍全 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 群G的Cayley有向图X=Cay(G,S)叫做正规的,如果G的右正则表示R(G)在X的全自同构群Aut(X)中正规.决定了6p(p素数)阶2度有向Cayley图的正规性,发现了一个新的2度非正规Cayley有向图.
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| 关 键 词： | Cayley有向图 正规Cayley有向图 自同构群 |
| 收稿时间： | 2007-5-15 |
Normality of 2-Valent Directed Cayley Digraph of Order6p |
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| JI Qiang,FENG Yan-quan.Normality of 2-Valent Directed Cayley Digraph of Order6p[J].Journal of Systems Science and Mathematical Sciences,2009,29(2):153-161. |
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| Authors: | JI Qiang FENG Yan-quan |
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| Institution: | School of Mathematics Science, Beijing Jiaotong University, Beijing100044 |
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| Abstract: | A Cayley digraph $X={\rm Cay}(G, S)$ is called normal for $G$ ifthe right representation $R(G)$ of $G$ is normal in the fullautomorphism group ${\rm Aut}(X)$. In this paper, the normality of 2-valent directed Cayley graphs of order $6p$ is determined, and a new non-normal 2-valent directed Cayley graph is found. |
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| Keywords: | Cayley digraph normal Cayley digraph automorphism group |
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