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}⊴\hspace{0.33em}\langle A,B\rangle . This partially solves a problem proposed by Y. Berkovich.
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| Format: | article |
| Language: | EN |
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De Gruyter
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/31d05c71f3024755bb9f742b7ad79991 |
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| Summary: | 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}⊴\hspace{0.33em}\langle A,B\rangle . This partially solves a problem proposed by Y. Berkovich. |
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