| 有限p-幂零群的一个刻画 |
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| 引用本文： | 顾江永.有限p-幂零群的一个刻画[J].安徽理工大学学报(自然科学版),2012(1):75-76,80. |
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| 作者姓名： | 顾江永 |
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| 作者单位： | 宿迁学院教师教育系 |
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| 基金项目： | 宿迁学院科研基金资助项目(2011YJG05) |
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| 摘 要： | 利用有限群G的Sylow p-子群的极大子群给出了有限群成为P-幂零群的一个充分条件:若G的Sylow p-子群P的所有极大子群在G中s-半正规,则G为P-幂零群。同时,推广了有关P-幂零性的几个已知结果。
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| 关 键 词： | p-幂零群 极大子群 s-半正规子群 |
A Characterization of Finite p-nilpotent Groups |
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| GU Jiang-yong.A Characterization of Finite p-nilpotent Groups[J].Journal of Anhui University of Science and Technology:Natural Science,2012(1):75-76,80. |
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| Authors: | GU Jiang-yong |
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| Institution: | GU Jiang-yong(Department of Teacher Education,Suqian College,Suqian Jiangsu 223800,China) |
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| Abstract: | By using the maximal subgroups of Sylow p-subgroups of G,sufficient conditions of a finite group being p-nilpotent is given:let P is the Sylow p-subgroups of G,if all the maximal subgroups of P is s-seminormal subgroups in the group of G,then G is p-nilpotent group,and which generalize some known results on this topic. |
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| Keywords: | p-nilpotent groups maximal subgroups s-seminormal subgroups |
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