| 满足|I_3(G)|=4的有限2群的完全分类 |
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| 引用本文： | 安立坚,魏军军.满足|I_3(G)|=4的有限2群的完全分类[J].数学的实践与认识,2010,40(22). |
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| 作者姓名： | 安立坚 魏军军 |
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| 基金项目： | 国家自然科学基金，山西省自然科学基金，山西省回国留学人员科研项目 |
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| 摘 要： | 完全分类了满足|I_3(G)|=4的有限2群,其中I_k(G)表示G的所有p~k阶子群的交.
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| 关 键 词： | 内交换群 亚循环群 内亚循环群 T_i群 |
A Complete Classification of Finite 2-Groups with∣I3(G)∣＝4 |
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| AN Li-jian,WEI Jun-jun.A Complete Classification of Finite 2-Groups with∣I3(G)∣＝4[J].Mathematics in Practice and Theory,2010,40(22). |
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| Authors: | AN Li-jian WEI Jun-jun |
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| Abstract: | Assume that G is a finite p-group.We use I_k(G) to denote the intersection of all subgroups of order p~k of G.In this paper,we completely classify finite 2-groups with |I_3(G)|=4. |
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| Keywords: | inner abelian groups metabelian groups inner metacyclic p-groups τ_i-groups |
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