Groups with many pronormal and transitively normal subgroups
A subgroup \(H\) of a group \(G\) is said to be transitively normal in \(G\), if \(H\) is normal in every subgroup \(K\geqslant H\) such that \(H\) is subnormal in \(K\). We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/713 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7132018-04-04T09:58:22Z Groups with many pronormal and transitively normal subgroups Kurdachenko, L. A. Semko (Jr.), N. N. Subbotin, I. Ya. soluble group, radical group, locally nilpotent group,transitively normal subgroup, non finitely generated subgroup 20E15, 20F19 A subgroup \(H\) of a group \(G\) is said to be transitively normal in \(G\), if \(H\) is normal in every subgroup \(K\geqslant H\) such that \(H\) is subnormal in \(K\). We described some infinite groups, whose non–finitely generated subgroups are transitively normal. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/713 Algebra and Discrete Mathematics; Vol 14, No 1 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/713/246 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T09:58:22Z |
| collection |
OJS |
| language |
English |
| topic |
soluble group radical group locally nilpotent group,transitively normal subgroup non finitely generated subgroup 20E15 20F19 |
| spellingShingle |
soluble group radical group locally nilpotent group,transitively normal subgroup non finitely generated subgroup 20E15 20F19 Kurdachenko, L. A. Semko (Jr.), N. N. Subbotin, I. Ya. Groups with many pronormal and transitively normal subgroups |
| topic_facet |
soluble group radical group locally nilpotent group,transitively normal subgroup non finitely generated subgroup 20E15 20F19 |
| format |
Article |
| author |
Kurdachenko, L. A. Semko (Jr.), N. N. Subbotin, I. Ya. |
| author_facet |
Kurdachenko, L. A. Semko (Jr.), N. N. Subbotin, I. Ya. |
| author_sort |
Kurdachenko, L. A. |
| title |
Groups with many pronormal and transitively normal subgroups |
| title_short |
Groups with many pronormal and transitively normal subgroups |
| title_full |
Groups with many pronormal and transitively normal subgroups |
| title_fullStr |
Groups with many pronormal and transitively normal subgroups |
| title_full_unstemmed |
Groups with many pronormal and transitively normal subgroups |
| title_sort |
groups with many pronormal and transitively normal subgroups |
| description |
A subgroup \(H\) of a group \(G\) is said to be transitively normal in \(G\), if \(H\) is normal in every subgroup \(K\geqslant H\) such that \(H\) is subnormal in \(K\). We described some infinite groups, whose non–finitely generated subgroups are transitively normal. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/713 |
| work_keys_str_mv |
AT kurdachenkola groupswithmanypronormalandtransitivelynormalsubgroups AT semkojrnn groupswithmanypronormalandtransitivelynormalsubgroups AT subbotiniya groupswithmanypronormalandtransitivelynormalsubgroups |
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2025-07-17T10:32:51Z |
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2025-07-17T10:32:51Z |
| _version_ |
1837889876585873408 |