C^(#) - 正规子群与有限群的可解性

C^(#) -normal Subgroups and Solvability of Finite Groups

群的C^(#) -正规性是C-正规性的推广.我们利用C^(#) -正规子群的性质刻画有限群的可解性与超可解性,得出一些充分条件和充要条件,并推广了一些结论。

The C^(#) -normality of finite groups is a generalization of normality.We use the properties of C^(#) -normal subgroups to characterize the solvability and supersolvability of finite groups.As a result,we obtain some sufficient and necessary conditions and generalize some conclusions.