| 关于4p阶3度Cayley图的正规性的一点注记 |
| |
| 引用本文： | 成会文.关于4p阶3度Cayley图的正规性的一点注记[J].数学的实践与认识,2011,41(4). |
| |
| 作者姓名： | 成会文 |
| |
| 作者单位： | 北京市海淀区职工大学,北京,100083 |
| |
| 摘 要： | 群G的Cayley图Cay(G,S)称为是正规的,如果G的右正则表示R(G)在Cay(G,S)的全自同构群中正规.设p为奇素数,相关文献决定了4p阶连通3度Cayley图的正规性.本文给出了上述文献的主要结果的一个新的简短的证明.
|
| 关 键 词： | Cayley图 商图 正规子群 |
A Note on the Normality of Cubic Cayley Graphs of Order 4p |
| |
| CHENG Hui-wen.A Note on the Normality of Cubic Cayley Graphs of Order 4p[J].Mathematics in Practice and Theory,2011,41(4). |
| |
| Authors: | CHENG Hui-wen |
| |
| Institution: | CHENG Hui-wen (Beijing Haidian Adult University,Beijing 100083,China) |
| |
| Abstract: | A Cayley graph Cay(G,S) on a group G is said to be normal,if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G,S).Let p be an odd prime.InAlgebra Colloquium,14(2007) 351-359],Zhou and Feng determined the normality of connected cubic Cayley graphs of order 4p.In this article,a new proof of the above result is given. |
| |
| Keywords: | Cayley graph quotient graph normal subgroup |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
