| 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].湖州师专学报,2010(2):9-12. |
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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,江苏连云港222001 |
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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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| 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 - nilpoteney 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 general- ized to formations. |
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| Keywords: | subnormal subgroups normal subgroups p - nilpotent groups |
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