| 3p阶亚循环群的连通4度Cayley图 |
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| 引用本文： | 徐尚进,邓芸萍,池建成,郭松涛.3p阶亚循环群的连通4度Cayley图[J].数学的实践与认识,2010,40(5). |
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| 作者姓名： | 徐尚进 邓芸萍 池建成 郭松涛 |
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| 基金项目： | 国家自然科学基金，广西科学基金，广西研究生教育创新计划资助项目 |
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| 摘 要： | 研究3p阶(p是大于3的素数)亚循环群的连通4度Cayley图.主要决定了其全自同构群的结构,并由此得到这类图的CI性、正规性和弧传递性.用到单群分类定理.
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| 关 键 词： | 亚循环群 正规Cayley图 弱m-CI性 单群分类定理 |
Connected Tetravalent Cayley Graphs of Metacyclic Groups with Order 3p |
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| XU Shang-jin,DENG Yun-ping,CHI Jian-cheng,GUO Song-tao.Connected Tetravalent Cayley Graphs of Metacyclic Groups with Order 3p[J].Mathematics in Practice and Theory,2010,40(5). |
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| Authors: | XU Shang-jin DENG Yun-ping CHI Jian-cheng GUO Song-tao |
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| Abstract: | In this paper,authors study the connected tetravalent Cayley graphs of metacyclic groups with order 3p(p>3,a prime).They mainly determine the structure of their full automorphism groups,and then obtain their CI property,normality and arc-transitive property.By the way,the conclusion here depends on the classification of the finite simple groups. |
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| Keywords: | Metacyclic group normal Cayley graph weak CI property the classification theorem of simple groups |
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