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关于Thompson猜想与AAM猜想(英文)

ON THOMPSON’S CONJECTURE AND AAM’S CONJECTURE

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【Author】 ZHANG Liang-cai1, SHI Wu-jie2, WANG Ling-li3 (1. College of Math. and Physics, Chongqing University, Chongqing 400044, China) (2. School of Math. Sciences, Suzhou University, Suzhou 215006, China) (3. Dept. of Math. of College of Science, North University of China,Taiyuan 030051, China)

【机构】重庆大学数理学院；苏州大学数学科学学院；中北大学理学院数学系；

【摘要】本文研究了有限(几乎)单群的非交换图刻画问题. 利用有限几乎单群的阶分量理论, 证明了对于具有非连通素图的有限单群, AAM猜想成立, 同时也证明了某些几乎单群也能被其非交换图刻画.上述结果推广了文献[13]的结果.更多还原

【Abstract】 In this article, we discuss the characterization of some finite (almost) simple groups by their non-commuting graphs. By using the theory of order components of finite al- most simple groups, we prove that AAM’s conjecture is true for all finite simple groups with non-connected prime graphs. Moreover, we prove that some almost simple groups can be also characterized by their non-commuting graphs. All the above results generalize those results in [13].更多还原

【关键词】有限群；非交换图；阶分量； Thompson猜想； AAM猜想；
【Key words】 finite group； non-commuting graph； order component； Thompson’s conjecture； AAM’s conjecture.；

【基金】 Supported by the National Natural Science Foundation of China(10871032);the SRFDP of China(20060285002);a Subproject of the NNSF of China(50674008);Chongqing Univer-sity(104207520080834;104207520080968)

【文献出处】数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2011年01期

【分类号】O152.1
【被引频次】1
【下载频次】92

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