On BNA-normality and solvability of finite groups

Xuanli He; Shirong Li; Yangming Wang

doi:10.4171/rsmup/136-5

JournalsrsmupVol. 136pp. 51–60

On BNA-normality and solvability of finite groups

Xuanli He
Guangxi University, Nanning, Guangxi, China
- MathSciNet
- zbMATH Open
Shirong Li
Guangxi University, Nanning, Guangxi, China
- MathSciNet
- zbMATH Open
Yangming Wang
Sun Yat-Sen University, Guangzhou, Guangdong, China
- MathSciNet
- zbMATH Open

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Abstract

Let $G$ be a finite group. A subgroup $H$ of $G$ is called a BNA-subgroup if either $H^{x} = H$ or $x \in ⟨ H, H^{x} ⟩$ for all $x \in G$ . 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