| 一类3pn阶亚循环群的4度Cayley图 |
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| 引用本文： | 徐尚进,郭松涛,李德雪.一类3pn阶亚循环群的4度Cayley图[J].广西科学,2008,15(2):105-108,112. |
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| 作者姓名： | 徐尚进 郭松涛 李德雪 |
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| 作者单位： | 广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 广西自然科学基金
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广西研究生教育创新计划 |
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| 摘 要： | 采用群与图的方法,研究一类3pn阶亚循环群的连通4度无向Cayley图.通过决定Caley图的自同构群得出此类亚循环群是弱4-CI的,并由此给出3pn亚循环群的连通4度无向Cayley图的完全分类,最后证明此类图都正规而且非弧传递.
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| 关 键 词： | 有限群 正规Cayley图 弱CI性 |
| 收稿时间： | 2008/1/28 0:00:00 |
Tetravalent Cayley Graphs on a Kind of Metacyclic Groups with Order 3pn |
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| XU Shang-jin,GUO Song-tao and LI De-xue.Tetravalent Cayley Graphs on a Kind of Metacyclic Groups with Order 3pn[J].Guangxi Sciences,2008,15(2):105-108,112. |
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| Authors: | XU Shang-jin GUO Song-tao and LI De-xue |
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| Institution: | School of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China,School of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China and School of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China |
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| Abstract: | A kind of metacyclic groups with order 3pn was researched by using the group-theoretic and graphic methods.Though determining the full automorphism groups of these Cayley graphs,we have that the group is a weak 4-CI group and then determine the complete classification of its connected tetravalent Cayley graphs.Finally,we prove that all these Cayley graphs are normal but no arc-transitive. |
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| Keywords: | finite group normal Cayley graph weak CI-property |
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