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On the structure of some groups having finite contranormal subgroups

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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Bibliographic Details
Main Authors: Kurdachenko, L. A., Semko, N. N.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2021
Subjects:
contranormal subgroups
Abelian-by-nilpotent groups
hypercenter of a group
\(G\)-eccentric subgroups
rationally irreducible subgroups
20E99
20F18
20F19
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724
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spelling 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
work_keys_str_mv AT kurdachenkola onthestructureofsomegroupshavingfinitecontranormalsubgroups
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first_indexed 2024-04-12T06:26:30Z
last_indexed 2024-04-12T06:26:30Z
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