| 非交换子群的交较大的有限p群 |
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| 作者单位： | ;1.山西师范大学数学与计算机科学学院 |
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| 摘 要： | 在有限p群中引进另一个新的子群概念-IAk(G),即G的所有Ak子群的交.IAk(G)是G的特征子群,并且IA1(G)就是群G的所有非交换子群的交.对于pn阶群G而言,本文完全分类了|IA1(G)|分别为pn-2和pn-3的pn阶群G.
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| 关 键 词： | Ak群 有限p群 子群的交 |
The Intersection of Non-abelian Subgroups of Finite p-groups |
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| Institution: | ,School of Mathematics and Computer Science,Shanxi Normal University |
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| Abstract: | In this paper,we introduce a new concept-IAk(G),the intersection of all Aksubgroups of G.IAk(G)is a characteristic subgroup of G and IA1(G)is the intersection of all non-abelian subgroups of G.Let the order of Gbe pn.We give complete classifications of G with|IA1(G)|=pn-2and|IA1(G)|=pn-3,respectively. |
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| Keywords: | Ak group finite p-groups intersection of subgroups |
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