摘要
利用极小子群的弱c-正规性刻画了有限群的结构,得到了有限超可解群的若干充分条件;从群系理论出发,得到了包含超可解群类的饱和群系的充分条件,并推广了一些已知结果.
Using the weakly c-normality of minimal subgroup of to characterize the structure of a finite group, some suffi- cient conditions of finite supersolvable group are obtained. According to the theory of formations , some sufficient conditions of saturated formation containing the class of all finite supersolvable groups are got, and some known theorems are generalized.
出处
《内江师范学院学报》
2008年第6期16-18,共3页
Journal of Neijiang Normal University
关键词
弱C-正规子群
极小子群
饱和群系
超可解群系
超可解群
weakly c-normal subgroup
minimal subgroup
saturated formation
supersolvable formation
supersolvable group
