有限群可解的一些充分条件  

Some sufficient conditions of finite solvable groups

作　　者：南爱玲[1] 

机构地区：[1]苏州大学数学科学学院,江苏苏州215006

出　　处：《苏州大学学报（自然科学版）》2006年第1期19-23,共5页Journal of Soochow University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571128)

摘　　要：设G是限群,称子群H在G中c-正规,若存在K G,使得G=HK且H∩K≤HG.本文利用子群的c-正规性和一般真子群的θ-子群偶刻画了有限群的可解性.Let G be a finite group, a subgroup H is said to be c- normal in G if there exists a normal subgroup K of G such that G = HK and HH∩K≤HG, where HG is the maximal normal subgroup of G contained in H. In this paper, we give some sufficient conditions of finite solvable groups by the c-normality of some subgroups and theta pairs of proper subgroups.

关 键 词：C-正规子群 Θ-子群偶 可解群 

分 类 号：O152.1[理学—数学]