A subgroup A of a finite group G is said to be NS-supplemented in G,if there exists a subgroup B of G such that G=AB and whenever X is a normal subgroup of A and p∈π(B).There exists a Sylow p-subgroup Bp of B,such that XBp=Bp X.In this paper,we explore the structure of finite groups by utilizing the properties of NS-supplement and cover-avoidance of second maximal subgroups in specific sets,and characterize the related classes of groups.
maximal subgroupsecond maximal subgroupcover-avoidance propertyNS-supplementclass of group
NETL
NSTL
万方数据
