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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| Date: | 2021 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2021
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543339793350656 |
|---|---|
| author | Kurdachenko, L. A. Semko, N. N. |
| author_facet | Kurdachenko, L. A. Semko, N. N. |
| author_sort | Kurdachenko, L. A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-04-11T06:11:31Z |
| 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. |
| first_indexed | 2026-02-08T07:57:43Z |
| format | Article |
| id | admjournalluguniveduua-article-1724 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:43Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On the structure of some groups having finite contranormal subgroups |
| title_sort | on the structure of some groups having finite contranormal subgroups |
| topic | contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19 |
| topic_facet | contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724 |
| work_keys_str_mv | AT kurdachenkola onthestructureofsomegroupshavingfinitecontranormalsubgroups AT semkonn onthestructureofsomegroupshavingfinitecontranormalsubgroups |