On the structure of some groups having finite contranormal subgroups
Following J.S. Rose, a subgroup \(H\) of the group \(G\) is said to be contranormal in \(G\), if \(G=H^{G}\). In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal \(p\)-subgroup.
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| Дата: | 2021 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1724 |
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oai:ojs.admjournal.luguniv.edu.ua:article-17242021-04-11T06:11:31Z On the structure of some groups having finite contranormal subgroups Kurdachenko, L. A. Semko, N. N. contranormal subgroups, Abelian-by-nilpotent groups, hypercenter of a group, \(G\)-eccentric subgroups, rationally irreducible subgroups 20E99, 20F18, 20F19 Following J.S. Rose, a subgroup \(H\) of the group \(G\) is said to be contranormal in \(G\), if \(G=H^{G}\). In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal \(p\)-subgroup. Lugansk National Taras Shevchenko University National Research Foundation of Ukraine 2021-04-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724 10.12958/adm1724 Algebra and Discrete Mathematics; Vol 31, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1724/785 Copyright (c) 2021 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19 |
| spellingShingle |
contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19 Kurdachenko, L. A. Semko, N. N. On the structure of some groups having finite contranormal subgroups |
| topic_facet |
contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19 |
| format |
Article |
| author |
Kurdachenko, L. A. Semko, N. N. |
| author_facet |
Kurdachenko, L. A. Semko, N. N. |
| author_sort |
Kurdachenko, L. A. |
| title |
On the structure of some groups having finite contranormal subgroups |
| title_short |
On the structure of some groups having finite contranormal subgroups |
| title_full |
On the structure of some groups having finite contranormal subgroups |
| title_fullStr |
On the structure of some groups having finite contranormal subgroups |
| title_full_unstemmed |
On the structure of some groups having finite contranormal subgroups |
| title_sort |
on the structure of some groups having finite contranormal subgroups |
| description |
Following J.S. Rose, a subgroup \(H\) of the group \(G\) is said to be contranormal in \(G\), if \(G=H^{G}\). In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal \(p\)-subgroup. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2021 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724 |
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AT kurdachenkola onthestructureofsomegroupshavingfinitecontranormalsubgroups AT semkonn onthestructureofsomegroupshavingfinitecontranormalsubgroups |
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2024-04-12T06:26:30Z |
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2024-04-12T06:26:30Z |
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1796109217601421312 |