有限超可解群的置换乘积(英文)  

Permutable Products of Finite Supersoluble Groups

作　　者：刘溪[1] 石磊[1] 杨南迎[1] 

机构地区：[1]徐州师范大学数学科学学院,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2008年第1期7-9,共3页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：Research is jointly supported by a National Natural Science Foundation of China(10771180);Agrant of postgranduate innovation fund of Jiangsu Province,China

摘　　要：群G的两个子群H和K称为可置换的,如果HK=KH.利用子群的可置换性,给出了两个超可解子群A和B的乘积仍为超可解群的一个判别准则.Two subgroups H and K of a finite group G are said to be permutable if HK=KH. In this paper, by using the concept of permutable subgroups, a new criterion of supersolubility of the product G=AB of finite supersoluble groups A and B is given.

关 键 词：有限群 置换子群 极大子群 西洛子群 超可解群 

分 类 号：O152.1[理学—数学]