On Nearly ℳ-Supplemented Subgroups of Finite Groups
Authors
J. Guo
L. Miao
School Math. Sci., Yangzhou Univ., China
Jiajia Zhang
Abstract
A subgroup H is called nearly ℳ-supplemented in a finite group G if there exists a normal subgroup K of G such that HK ⊴ G and TK < HK for every maximal subgroup T of H. We obtain some new results on supersoluble groups and their formation by using nearly ℳ-supplemented subgroups and study the structure of finite groups.