关于F-反正规的极大子群与s-完备

On F-Abnormal Maximal Subgroups and s-Completions

设F是包含所有超可解群类的饱和群系,利用F-反正规的极大子群的s-完备性来刻画群的结构,得到了群G∈F的一些充要条件.

Let F be a saturated formation which contains all supersolvable groups. The structure of finite groups was characterized by s-completions of F-abnormal maximal subgroups. Some necessary and sufficient conditions of the groups in F were obtained.