| 半二面体群的小度数Cayley图 |
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| 引用本文： | 姚俊红,王新中,王长群.半二面体群的小度数Cayley图[J].数学的实践与认识,2009,39(6). |
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| 作者姓名： | 姚俊红 王新中 王长群 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 摘 要： | 群G的一个Cayley图X=Cay(G,S)称为正规的,如果右乘变换群R(G)在Aut X中正规.研究了4m阶半二面体群G=〈a,b a2m=b2=1,ab=am-1〉的3度和4度Cayley图的正规性,其中m=2r且r>2,并得到了几类非正规的Cayley图.
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| 关 键 词： | Cayley图 正规Cayley图 半二面体群 |
Cayley Graphs of Small Valencies of Semi-dihedral Graphs |
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| YAO Jun-hong,WANG Xin-zhong,WANG Chang-qun.Cayley Graphs of Small Valencies of Semi-dihedral Graphs[J].Mathematics in Practice and Theory,2009,39(6). |
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| Authors: | YAO Jun-hong WANG Xin-zhong WANG Chang-qun |
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| Abstract: | A cayley graph X=Cay(G,S) of group G is said to be normal if R(G),the group of right multiplication,is normal in Aut X.In this paper,we investigate the normality of all cubic and tetravaluent cayley graphs of semi-dihedral group G of order 4m,where G=〈a,b|a2m=b2=1,ab=am-1〉 and m=2r,r>2.In addition,we obtain several infinite families of non-normal cayley graphs of semi-dihedral groups. |
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| Keywords: | cayley graph normal cayley graph semi-dihedral group |
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