| 三类10p阶群上的2度Cayley有向图的正规性 |
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| 引用本文： | 刘响林,;徐尚进,;刘翠明. 三类10p阶群上的2度Cayley有向图的正规性[J]. 钦州学院学报, 2014, 0(11): 32-36 |
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| 作者姓名： | 刘响林, 徐尚进, 刘翠明 |
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| 作者单位： | [1]广西大学行健文理学院,广西南宁530005; [2]广西大学,广西南宁530004; [3]重庆市万州上海中学,重庆404000 |
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| 摘 要： | 群G的Cayley有向图Γ=Cay（G,S）叫做正规的,如果G的右正则表示R（G）在Γ的全自同构Aut（Γ）中正规.决定了10p（p素数）阶交换群和三类非交换群上的2度有向图的正规性,得到了3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 |
The normality of Cayley dipgraphs of valency on three kind of Groups with Order 10p |
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| Affiliation: | LIU Xiang-lin, XU Shang-jin, LIU Cui-ming(1. Guangxi University XingJian College of Science and Liberal Arts, Nanning 530005, China ; 2. Guangxi University ,Nanning 530004, China ; 3. Chongqingwanzhoushanghai Highschool , Chongqing 404000, China) |
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| Abstract: | A Cayley digraph Г = Cay（ G,S） is called normal for G if the right representation R（ G） of G is normal in the full automorphism group Aut（ Г）. As for given three kind of Groups with Order 10 p,the normality of 2-valent directed Cayley graphs is determined,and three new non-normal 2-valent directed Cayley graph are found. |
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| Keywords: | Cayley digraph Normal Cayley digraph automorphism group |
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