关于F-反正规的极大子群与s-完备  

On F-Abnormal Maximal Subgroups and s-Completions

作　　者：高辉[1] 高胜哲[1] 尹丽[1] 

机构地区：[1]大连海洋大学理学院,辽宁大连116023

出　　处：《郑州大学学报（理学版）》2015年第2期45-48,52,共5页Journal of Zhengzhou University:Natural Science Edition

摘　　要：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.

关 键 词：群系 F-反正规的极大子群 正规指数 s-完备 

分 类 号：O152.1[理学—数学]