| 非极大交换子群皆正规的有限群 |
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| 引用本文： | 李璇,郭秀云.非极大交换子群皆正规的有限群[J].应用数学与计算数学学报,2012,26(1):121-126. |
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| 作者姓名： | 李璇 郭秀云 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 基金项目： | 国家自然科学基金资助项目(11071155) |
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| 摘 要： | 设H是有限群G的一个交换子群.如果H在G中的中心化子正是它本身,则称H为G的极大交换子群.本文主要研究每一非极大交换子群都正规的有限群的结构,对这类有限群给出其完全分类.
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| 关 键 词： | 有限群 交换子群 Sylow p-子群 |
Finite groups with every non-maximal abelian subgroup being normal |
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| LI Xuan,GUO Xiu-yun.Finite groups with every non-maximal abelian subgroup being normal[J].Communication on Applied Mathematics and Computation,2012,26(1):121-126. |
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| Authors: | LI Xuan GUO Xiu-yun |
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| Institution: | (College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | An abelian subgroup H of a finite group G is said to be a maximal abelian subgroup in G if its centralizer is just itself.Finite groups in which every non-maximal abelian subgroup is normal are investigated,and then the classification of this kind groups is given in this paper. |
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| Keywords: | finite group abelian subgroup Sylow p-subgroup |
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