On $E$-$S$-supplemented subgroups of finite groups
Tom 131 / 2013
Colloquium Mathematicum 131 (2013), 41-51 MSC: Primary 20D10; Secondary 20D15. DOI: 10.4064/cm131-1-4
The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini $G$-chief factor of a normal subgroup $E$ of a finite group $G$ is cyclic. As applications, some recent known results are generalized and unified.