JournalsrsmupVol. 136pp. 51–60

On BNA-normality and solvability of finite groups

  • Xuanli He

    Guangxi University, Nanning, Guangxi, China
  • Shirong Li

    Guangxi University, Nanning, Guangxi, China
  • Yangming Wang

    Sun Yat-Sen University, Guangzhou, Guangdong, China
On BNA-normality and solvability of finite groups cover
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Abstract

Let GG be a finite group. A subgroup HH of GG is called a BNA-subgroup if either Hx=HH^x=H or xH,Hxx\in\langle H, H^x\rangle for all xGx\in G. In this paper, some interesting properties of BNA-subgroups are given and, as applications, the structure of the finite groups in which all minimal subgroups are BNA-subgroups have been characterized.

Cite this article

Xuanli He, Shirong Li, Yangming Wang, On BNA-normality and solvability of finite groups. Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 51–60

DOI 10.4171/RSMUP/136-5