非交換群上的2度有向Cayley圖
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稱群G的有向Cayley圖X=Cay(G,S)是正規(guī)的,如果群G的右正則表示R(G)在圖X的全自同構(gòu)群Aut(X)中正規(guī).給出了非交換群的2度有向Cayley圖是正規(guī)的充分條件.另外,利用自同構(gòu)群和查圈的方法決定了廣義四元數(shù)群上的2度有向Cayley圖的正規(guī)性.
【文章頁數(shù)】:6 頁
【文章目錄】:
1引言
2預(yù)備知識
3主要結(jié)果
【參考文獻】:
期刊論文
[1]4p階群上2度Cayley有向圖的正規(guī)性[J]. 聶淑凡,馮衍全. 北京交通大學學報. 2006(03)
[2]A Family of Nonnormal Cayley Digraphs[J]. Yan Quan FENG,Dian Jun WANG,Jing Lin CHEN. Acta Mathematica Sinica(English Series). 2001(01)
[3]THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5[J]. Young-Gheel Baik (Department of Applied Mathematics Pukyong National University Pusan 608-737, Korea) FENG Yanquan (Department of Mathematics, Northern Jiaotong University, Beijing 100044, China) Hyo-Seob Sim (Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea). Systems Science and Mathematical Sciences. 2000(04)
[4]二面體群D2p的出度為3的Cayley有向圖的正規(guī)性[J]. 王汝楫. 首都師范大學學報(自然科學版). 1998(01)
本文編號:3697442
【文章頁數(shù)】:6 頁
【文章目錄】:
1引言
2預(yù)備知識
3主要結(jié)果
【參考文獻】:
期刊論文
[1]4p階群上2度Cayley有向圖的正規(guī)性[J]. 聶淑凡,馮衍全. 北京交通大學學報. 2006(03)
[2]A Family of Nonnormal Cayley Digraphs[J]. Yan Quan FENG,Dian Jun WANG,Jing Lin CHEN. Acta Mathematica Sinica(English Series). 2001(01)
[3]THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5[J]. Young-Gheel Baik (Department of Applied Mathematics Pukyong National University Pusan 608-737, Korea) FENG Yanquan (Department of Mathematics, Northern Jiaotong University, Beijing 100044, China) Hyo-Seob Sim (Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea). Systems Science and Mathematical Sciences. 2000(04)
[4]二面體群D2p的出度為3的Cayley有向圖的正規(guī)性[J]. 王汝楫. 首都師范大學學報(自然科學版). 1998(01)
本文編號:3697442
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