| p3阶非循环子群都同构的奇阶有限p-群 |
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| 引用本文： | 杨栋辉,刘会峰.p3阶非循环子群都同构的奇阶有限p-群[J].西南民族学院学报(自然科学版),2013(6):915-918. |
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| 作者姓名： | 杨栋辉 刘会峰 |
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| 作者单位： | 太原科技大学,太原030024 |
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| 摘 要： | 应用亚循环p-群与正则p-群等p-群相关知识,给出p3阶非循环子群都同构的奇阶有限p-群的类型为初等交换p-群或亚循环P-群.
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| 关 键 词： | 最大类p-群 亚循环群 正则群 |
The odd order finite p-groups with isomorphic non-cyclic subgroups of order p3 |
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| YANG Dong-hui,LIU Hui-feng.The odd order finite p-groups with isomorphic non-cyclic subgroups of order p3[J].Journal of Southwest Nationalities College(Natural Science Edition),2013(6):915-918. |
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| Authors: | YANG Dong-hui LIU Hui-feng |
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| Institution: | (Taiyuan University of Science and Technology, Taiyuan 030024, P.R.C.) |
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| Abstract: | This paper studies the finite p-groups G, where p is odd prime, G has the isomorphic non-cyclic subgroups of the order p3, and proves that the type of the p-groups is either elementary Abelian p-groups or metacyclic p-groups, by using the knowledge about metacyclic p-groups and regular p-groups. |
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| Keywords: | metacyclic p-group regular p-group isomorphism |
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