【摘要】 利用弱c-supplement的概念,研究了一有限群属于一个包含超可解群类的饱和群系的可能性,证明了:设F是一个饱和群系,且包含超可解群类.再假设N是G的一个正规子群,使得G/N∈F.如果对每一个p∈π(N),对N的任一个Sylow p-子群P,P的每一个极大子群在G中是弱c-supplement的,那么,G∈F.推广了某些结果.更多还原

【Abstract】 By weak c-supplement we investigated the possibility that a finite group is in a saturated formation containing all supersoluble groups.It was showed that for a saturated formation F containing all supersoluble groups,if there exists a group G such that G contins a normal subgroup N and G/N is supersoluble and if maximal subgroups of Sylow subgroups of N are c-supplemented in G,then G∈F.Some results are extended.更多还原