有限群的某些Sylow子群的极大子群

Maximal Subgroups of Some Sylow Subgroups of Finite Groups

利用Fitting(广义Fitting)子群的Sylow子群的极大子群在G中弱c-正规性得到了若干有限超可解群的若干充分条件;并将此结果推广到群系上,得到了包含超可解群类的饱和群系的充分条件,推广了一些已知结果.

By using the weakly c-normality of maximal subgroups of some Sylow subgroups of Fitting subgroups（generalized Fitting subgroups）,some sufficient conditions for a finite group to be supersolvable are proved and the results are generalized to formations.Moreover,some sufficient conditions for a saturated formation containing the class of all finite supersolvable groups to be closed are also obtained.