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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De Gruyter
2021
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oai:doaj.org-article:31d05c71f3024755bb9f742b7ad799912021-12-05T14:10:53ZOn intersections of two non-incident subgroups of finite p-groups2391-545510.1515/math-2021-0077https://doaj.org/article/31d05c71f3024755bb9f742b7ad799912021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0077https://doaj.org/toc/2391-5455In 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.Wang JiaoDe Gruyterarticlefinite p-groupmetacyclic p-groupcommutator subgroup20d15MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 940-948 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
finite p-group metacyclic p-group commutator subgroup 20d15 Mathematics QA1-939 |
| spellingShingle |
finite p-group metacyclic p-group commutator subgroup 20d15 Mathematics QA1-939 Wang Jiao On intersections of two non-incident subgroups of finite p-groups |
| description |
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. |
| format |
article |
| author |
Wang Jiao |
| author_facet |
Wang Jiao |
| author_sort |
Wang Jiao |
| title |
On intersections of two non-incident subgroups of finite p-groups |
| title_short |
On intersections of two non-incident subgroups of finite p-groups |
| title_full |
On intersections of two non-incident subgroups of finite p-groups |
| title_fullStr |
On intersections of two non-incident subgroups of finite p-groups |
| title_full_unstemmed |
On intersections of two non-incident subgroups of finite p-groups |
| title_sort |
on intersections of two non-incident subgroups of finite p-groups |
| publisher |
De Gruyter |
| publishDate |
2021 |
| url |
https://doaj.org/article/31d05c71f3024755bb9f742b7ad79991 |
| work_keys_str_mv |
AT wangjiao onintersectionsoftwononincidentsubgroupsoffinitepgroups |
| _version_ |
1718371595273109504 |