-Supplemented Subgroups of Finite Groups

  • Wenbin Guo

    University of Scinece and Technology of China, Hefei, China
  • Alexander N. Skiba

    Gomel Francisk Skorina State University, Belarus
  • Nanying Yang

    University of Science and Technology of China, Hefei, China

Abstract

Let be a finite group, a subgroup of and be the subgroup generated by all subgroups of which are -quasinormally embedded in . Then we say that is -supplemented in if has a subgroup such that and . We investigate the influence of -quasinormally embedded of some subgroups on the structure of finite groups. Our results improve and extend a series of recent results.

Cite this article

Wenbin Guo, Alexander N. Skiba, Nanying Yang, -Supplemented Subgroups of Finite Groups. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 245–263

DOI 10.4171/RSMUP/129-14