On BNA-normality and solvability of finite groups
He, Xuanli1 ; Li, Shirong1 ; Wang, Yangming2
1 Guangxi University, NANNING, GUANGXI, CHINA
2 Sun Yat-Sen University, GUANGZHOU, GUANGDONG, CHINA
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 51-60.

Let G be a finite group. A subgroup H of G is called a BNA-subgroup if either H x =H or x∈〈H,H x 〉 for all x∈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.

DOI : 10.4171/RSMUP/136-5
Classification : 20
Mots clés : BNA-subgroup, minimal subgroup, soluble group, fitting height, $p$-length
He, Xuanli 1 ; Li, Shirong 1 ; Wang, Yangming 2

1 Guangxi University, NANNING, GUANGXI, CHINA
2 Sun Yat-Sen University, GUANGZHOU, GUANGDONG, CHINA 
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     title = {On {BNA-normality} and solvability of finite groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {51--60},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {136},
     year = {2016},
     doi = {10.4171/RSMUP/136-5},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/136-5/}
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He, Xuanli; Li, Shirong; Wang, Yangming. On BNA-normality and solvability of finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 51-60. doi : 10.4171/RSMUP/136-5. http://www.numdam.org/articles/10.4171/RSMUP/136-5/

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