| S-半正规性与P-幂零性 |
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| 引用本文： | 王坤仁.S-半正规性与P-幂零性[J].东北数学,2002,18(2):178-182. |
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| 作者姓名： | 王坤仁 |
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| 作者单位： | Department of Mathematics，Normal University of Sichuan，Chengdu，610066 |
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| 摘 要： | In this paper, we deal mainly with the following problem: if every 2-maximal subgroup of a Sylow p-subgroup of a finite group G is S-seminormal in G, what conditions force G to be p-nilpotent? As an application of main results, some sufficient conditions for finite nilpotent groups and finite supersolvable groups are obtained.
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| 关 键 词： | 群论 有限群 置换群 子群 P-群 |
S-seminormality and P-nilpotency |
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| WANG Kunren.S-seminormality and P-nilpotency[J].Northeastern Mathematical Journal,2002,18(2):178-182. |
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| Authors: | WANG Kunren |
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| Institution: | DepartmentofMathematics,NormalUniversityofSichuan,Chengdu,610066 |
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| Abstract: | In this paper, we deal mainly with the following problem: if every 2-maximal subgroup of a Sylow p-subgroup of a finite group G is S-seminormal in G, what conditions force G to be p-nilpotent? As an application of main results, some sufficient conditions for finite nilpotent groups and finite supersolvable groups are obtained. |
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| Keywords: | 2-maximal subgroup S-seminormality p-nilpotency |
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