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. 51–60DOI 10.4171/RSMUP/136-5