极大子群的s-θ-完备与有限群的可解性

The s-θ-completions of Maximal Subgroups and the Solvability of Finite Groups

主要讨论有限群包含Sylow子群正规化子的非幂零c-极大子群的s-θ-完备对该群可解性的影响,得到一系列充分必要条件,推广了该方面已有的一些结论.

In this paper, we mainly discussed s -θ - completions of non-nilpotent c - maximal sub- groups, which include normalizers of some subgroups. And we studied its influence on solvability of finite groups. We presented rome necessary and sufficient conditions of finite solvable groups, and they generalized some recent theorems.