有限群的弱ss-可补子群(英文)  

On Weakly ss-Supplemented Subgroups of Finite Groups

作　　者：韦华全[1] 潘红飞[1] 董淑琴[1] 孙旭[1] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023

出　　处：《广西师范学院学报（自然科学版）》2010年第1期1-4,12,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：Projects supported by NSFC(10961007,10871210);NSF of Guangxi(0991101,0991102);Guangxi 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.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≤H,G, where HuG is the largest subnormal subgroup of G contained in H. In this paper, the solvability of a finite group G with rome subgroups of Sylow subgroups weakly ss-supple- mented in Gis characterized.

关 键 词：有限群 次正规 弱SS-可补 可补 可解 

分 类 号：O152.1[理学—数学]