极大群和极小群的弱c-正规对有限群结构的影响

Influence of Weak c-normality of Maximal and Minimal Subgroups on the Structure of Finite Groups

利用极大和极小群的弱c-正规性对有限群的结构进行刻画,得到可解群和p-幂零群的一些充分条件,推广了一些已知的结果.

Using the weak c - normality of maximal and minimal subgroups to characterize the structure of the group G, some sufficient conditions under which a group belongs to solvable groups and p - nilpotent groups are obtained,and some known results are promoted.