| 有限群的弱正规子群与p-幂零性 |
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| 引用本文： | 周泓泽,郭秀云.有限群的弱正规子群与p-幂零性[J].应用数学与计算数学学报,2011,25(2):245-252. |
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| 作者姓名： | 周泓泽 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 |
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| 摘 要： | 研究了p2阶子群以及一般的pk阶子群为弱正规子群时有限群G的结构.给出了有限群为p-幂零群以及超可解群的一些条件.
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| 关 键 词： | 弱正规子群 p-幂零群 超可解群 |
Weakly normal subgroups and p-nilpotency of finite groups |
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| ZHOU Hong-ze,GUO Xiu-yun.Weakly normal subgroups and p-nilpotency of finite groups[J].Communication on Applied Mathematics and Computation,2011,25(2):245-252. |
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| Authors: | ZHOU Hong-ze GUO Xiu-yun |
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| Institution: | ZHOU Hong-ze,GUO Xiu-yun (College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | The structure of a finite group G under the assumption that certain subgroups of prime power order are weakly normal in G is investigated.Some conditions for a finite group to be p-nilpotent and supersolvable are given. |
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| Keywords: | weakly normal subgroup p-nilpotent group supersolvable group |
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