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有限群的弱ss-可补子群(英文)
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(英文)[J].广西师范学院学报(自然科学版),2010,27(1):1-4,12.
作者姓名:韦华全  潘红飞  董淑琴  孙旭
作者单位:广西师范学院数学科学学院,广西,南宁,530023
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 
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.

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
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.
Authors:WEI Hua-quan  PAN Hong-fei  DONG Shu-qin  SUN Xu
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.
Keywords:finite group  subnormal  weakly ss-supplemented  complemented  solvable
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