On BNA-normality and solvability of finite groups
Xuanli He
Guangxi University, Nanning, Guangxi, ChinaShirong Li
Guangxi University, Nanning, Guangxi, ChinaYangming Wang
Sun Yat-Sen University, Guangzhou, Guangdong, China
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Abstract
Let be a finite group. A subgroup of is called a BNA-subgroup if either or for all . 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