On intersections of two non-incident subgroups of finite p-groups

In this paper, we investigate finite p-groups GG such that whenever A,B<GA,B\lt G are non-incident, then A∩B⊴⟨A,B⟩A\cap B\hspace{0.33em}&#x22B4;\hspace{0.33em}\langle A,B\rangle . This partially solves a problem proposed by Y. Berkovich.

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Autor principal: Wang Jiao
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/31d05c71f3024755bb9f742b7ad79991
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Sumario:In this paper, we investigate finite p-groups GG such that whenever A,B<GA,B\lt G are non-incident, then A∩B⊴⟨A,B⟩A\cap B\hspace{0.33em}&#x22B4;\hspace{0.33em}\langle A,B\rangle . This partially solves a problem proposed by Y. Berkovich.