| 次正规子群对有限群p-幂零性的影响 |
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| 引用本文： | 左林.次正规子群对有限群p-幂零性的影响[J].湖州师范学院学报,2010,32(2). |
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| 作者姓名： | 左林 |
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| 作者单位： | 连云港师范高等专科学校数学系; |
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| 摘 要： | 有限群论中,通常利用子群的性质来刻画有限群的结构.为进一步研究次正规子群对有限群p-幂零群的影响,考虑Sylow 子群的极大子群或2-极大子群满足次正规性,给出群G为p-幂零群的若干充分条件,并将其结果推广到群系.
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| 关 键 词： | 次正规子群 正规子群 p-幂零群 |
The Influence of Subnormal Subgroups on p-nilpotency of Finite Groups |
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| ZUO Lin.The Influence of Subnormal Subgroups on p-nilpotency of Finite Groups[J].Journal of Huzhou Teachers College,2010,32(2). |
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| Authors: | ZUO Lin |
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| Institution: | ZUO Lin(Department of Mathematics,Lianyungang Teachers College,Lianyungang 222006,China) |
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| Abstract: | The study of the structure of finite groups by means of its subgroups plays a key role in the group theory.In this paper,we consider the p-nilpotency of a finite group G by assuming that the maximal or 2-maximal subgroups of the Sylow subgroups of G have sub-normality,on the basis of which some sufficient conditions for a group G to be p-nilpotent are given and these results are generalized to formations. |
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| Keywords: | subnormal subgroups normal subgroups p-nilpotent groups |
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