On $E$-$S$-supplemented subgroups of finite groups

Tom 131 / 2013

Changwen Li, Xuemei Zhang, Xiaolan Yi 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.


  • Changwen LiSchool of Mathematics and Statistics
    Jiangsu Normal University
    Xuzhou, 221116, China
  • Xuemei ZhangDepartment of Basic Sciences
    Yancheng Institute of Technology
    Yancheng, 224051, China
  • Xiaolan YiSchool of Science
    Zhejiang Sci-Tech University
    Hanzhou, 310018, China

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