| 幂零群的半正规、C-正规刻画 |
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| 引用本文： | 唐曾林,钟祥贵,蒙忠传. 幂零群的半正规、C-正规刻画[J]. 广西师范学院学报(自然科学版), 2006, 23(4): 9-12 |
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| 作者姓名： | 唐曾林 钟祥贵 蒙忠传 |
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| 作者单位： | 湖南文理学院,湖南,常德,415000;广西师范大学,数学与计算机科学学院,广西,桂林,541004;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： | 湖南文理学院科研项目(JJQD06005)，广西科学基金资助项目(0575050) |
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| 摘 要： | 利用极小子群及4阶循环子群的或“半正规”或“C-正规性”得到有限群幂零性的若干结果,进一步推广了相应的结果.
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| 关 键 词： | 极小子群 半正规 C-正规 幂零 |
| 文章编号： | 1002-8743（2006）04-0009-04 |
| 收稿时间： | 2006-08-29 |
| 修稿时间： | 2006-08-29 |
On Nilpotency of Finite Groups Based on Some Semi-normal or C-normal Subgroups |
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| TANG Zeng-lin,ZHONG Xiang-gui,MENG Zhong-zhuan. On Nilpotency of Finite Groups Based on Some Semi-normal or C-normal Subgroups[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2006, 23(4): 9-12 |
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| Authors: | TANG Zeng-lin ZHONG Xiang-gui MENG Zhong-zhuan |
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| Affiliation: | 1. Hunan University of Arts and Science, Changde 415000, China; 2. College of Mathematics and Computer Science, Guangxi Normal University, Guilin 541004, China; 3. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China |
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| Abstract: | Using the semi-normalty or C-normalty of minimal subgroups and cyclic subgroups of order 4,we obtain some new characterizations of nilpotent groups.Our results generalize some relative theorems. |
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| Keywords: | semi-normal C-normal nilpotent |
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