| 非正规子群的共轭类类数为3的p^aq^br^c阶群 |
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| 引用本文： | 陈顺民,;陈贵云.非正规子群的共轭类类数为3的p^aq^br^c阶群[J].山东大学学报(自然科学版),2009(4):5-7. |
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| 作者姓名： | 陈顺民 ;陈贵云 |
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| 作者单位： | [1]陕西师范大学数学与信息科学学院,陕西西安710062; [2]重庆文理学院数学与统计学院,重庆402160; [3]西南大学数学与统计学院,重庆400715 |
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| 基金项目： | 国家自然科学基金资助项目（10771172） |
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| 摘 要： | 给出了非正规子群的共轭类类数为3的p^aq^br^c阶群的分类。
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| 关 键 词： | 非正规子群 Dedekind群 幂零群 共轭类 |
Groups of order p^aq^br^c having exactly three conjugacy classes of non-normal subgroups |
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| Institution: | CHEN Shun-min, CHEN Gui-yun(1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China; 2. School of Mathematic and Statistics, Chongqing University of Arts and Sciences, Chongqing 402160, China; 3. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China) |
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| Abstract: | The classification is obtained for the groups of order p^aq^br^c, which have exactly three conjugacy classes of non-normal subgroups. |
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| Keywords: | non-normal subgroups Dedekind groups nilpotent groups conjugacy classes |
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