JournalsrsmupVol. 129pp. 245–263

SESE-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
$SE$-Supplemented Subgroups of Finite Groups cover
Download PDF

Abstract

Let GG be a finite group, HH a subgroup of GG and HseGH_{seG} be the subgroup generated by all subgroups of HH which are SS-quasinormally embedded in GG. Then we say that HH is SESE-supplemented in GG if GG has a subgroup TT such that HT=GHT=G and HTHseGH\cap T\leq H_{seG}. We investigate the influence of SESE-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, SESE-Supplemented Subgroups of Finite Groups. Rend. Sem. Mat. Univ. Padova 129 (2013), pp. 245–263

DOI 10.4171/RSMUP/129-14