| 一类和有限群的共轭类关联的新图 |
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| 引用本文： | 游兴中,钱国华. 一类和有限群的共轭类关联的新图[J]. 数学年刊A辑(中文版), 2007, 0(5) |
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| 作者姓名： | 游兴中 钱国华 |
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| 作者单位： | 长沙理工大学数学与计算科学学院，中山大学数学与计算机科学学院 长沙 410077，广州 510275 常熟理工学院数学系，江苏 常熟 215500 |
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| 基金项目： | 国家自然科学基金(No．10671026，No．10571128)，中国博士后基金，江苏省高校自然科学研究计划(No．05KJB110002)，长沙理工大学基金(No．1004116)资助的项目 |
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| 摘 要： | 给出了满足下列性质P_4的有限群的分类,对任意4个不同的非中心的共轭类,它们的代表元的阶的公因子为1.
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| 关 键 词： | 有限群 共轭类 图 单群 |
A New Graph Related to Conjugacy Classes of Finite Groups |
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| YOU Xingzhong QIANGuohua School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha ,China.School of Mathematics and Computational Science,Sun Yat-Sen University,Guangzhou ,China. A New Graph Related to Conjugacy Classes of Finite Groups[J]. Chinese Annals of Mathematics, 2007, 0(5) |
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| Authors: | YOU Xingzhong QIANGuohua School of Mathematics Computing Science Changsha University of Science Technology Changsha China.School of Mathematics Computational Science Sun Yat-Sen University Guangzhou China |
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| Affiliation: | YOU Xingzhong~* QIANGuohua~** *School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410077,China.**School of Mathematics and Computational Science,Sun Yat-Sen University,Guangzhou 510275,China,Department of Mathematics,Changshu Institute of Technology,Changshu 215500,Jiangsu,China. |
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| Abstract: | This paper classifies finite groups satisfying the following property P_4:the orders of their representative elements are set-wise relatively prime for any 4 distinct non-central conjugacy classes. |
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| Keywords: | Finite group Conjugacy class Graph Simple group |
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