| 有限群的弱ss-可补子群 |
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| 引用本文： | 韦华全,潘红飞,董淑琴,孙旭. 有限群的弱ss-可补子群[J]. 广西师范学院学报(自然科学版), 2010, 27(1): 1-4,12 |
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| 作者姓名： | 韦华全 潘红飞 董淑琴 孙旭 |
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| 作者单位： | 广西师范学院数学科学学院,广西,南宁,530023;广西师范学院数学科学学院,广西,南宁,530023;广西师范学院数学科学学院,广西,南宁,530023;广西师范学院数学科学学院,广西,南宁,530023 |
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| 基金项目： | 国家自然科学基金,广西自治区自然科学基金,Guan-gxi Education Departement |
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| 摘 要： | 有限群G的子群H叫做在G中弱ss-可补,如果存在G的子群K使得HK是G的次正规子群且H∩K≤HuG,其中HuG是G的含于H的最大次正规子群.该文利用Sylow子群的某些弱ss-可补子群来刻画有限群的可解性.
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| 关 键 词： | 有限群 次正规 弱ss-可补 可补 可解 |
On Weakly ss-Supplemented Subgroups of Finite Groups |
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| WEI Hua-quan,PAN Hong-fei,DONG Shu-qin,SUN Xu. On Weakly ss-Supplemented Subgroups of Finite Groups[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2010, 27(1): 1-4,12 |
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| Authors: | WEI Hua-quan PAN Hong-fei DONG Shu-qin SUN Xu |
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| Abstract: | A subgroup H of a group G is said to be weakly ss-supplemented in G if there exists a subgroup K of G such that HK is a subnormal subgroup of G and H∩K≤HuG , where HuG is the largest subnormal subgroup of G contained in H. In this paper, the solvability of a finite group G with some subgroups of Sylow subgroups weakly a-supple-mented in G is characterized. |
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| Keywords: | finite group subnormal weakly ss-supplemented complemented solvable |
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