极小弱c-正规子群对有限群结构的影响

The Influence of Minimal Weakly c-normal Subgroup on the Structure of Finite Group

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.