On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a~group \(G\) includes an ascendant locally nilpotent subgroup of infinite special rank, then \(G\) is abelian.
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| Дата: | 2020 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1357 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543238344671232 |
|---|---|
| author | Kurdachenko, L. A. Subbotin, I. Ya. Velychko, T. V. |
| author_facet | Kurdachenko, L. A. Subbotin, I. Ya. Velychko, T. V. |
| author_sort | Kurdachenko, L. A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-05-14T18:27:22Z |
| description | This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a~group \(G\) includes an ascendant locally nilpotent subgroup of infinite special rank, then \(G\) is abelian. |
| first_indexed | 2025-12-02T15:29:59Z |
| format | Article |
| id | admjournalluguniveduua-article-1357 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:29:59Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-13572020-05-14T18:27:22Z On the non–periodic groups, whose subgroups of infinite special rank are transitively normal Kurdachenko, L. A. Subbotin, I. Ya. Velychko, T. V. finite special rank, soluble group, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50 This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a~group \(G\) includes an ascendant locally nilpotent subgroup of infinite special rank, then \(G\) is abelian. Lugansk National Taras Shevchenko University 2020-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1357 10.12958/adm1357 Algebra and Discrete Mathematics; Vol 29, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1357/pdf Copyright (c) 2020 Algebra and Discrete Mathematics |
| spellingShingle | finite special rank soluble group periodic group locally nilpotent radical locally nilpotent residual transitively normal subgroups Primary 20E15 20F16; Secondary 20E25 20E34 20F22 20F50 Kurdachenko, L. A. Subbotin, I. Ya. Velychko, T. V. On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_full | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_fullStr | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_full_unstemmed | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_short | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_sort | on the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| topic | finite special rank soluble group periodic group locally nilpotent radical locally nilpotent residual transitively normal subgroups Primary 20E15 20F16; Secondary 20E25 20E34 20F22 20F50 |
| topic_facet | finite special rank soluble group periodic group locally nilpotent radical locally nilpotent residual transitively normal subgroups Primary 20E15 20F16; Secondary 20E25 20E34 20F22 20F50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1357 |
| work_keys_str_mv | AT kurdachenkola onthenonperiodicgroupswhosesubgroupsofinfinitespecialrankaretransitivelynormal AT subbotiniya onthenonperiodicgroupswhosesubgroupsofinfinitespecialrankaretransitivelynormal AT velychkotv onthenonperiodicgroupswhosesubgroupsofinfinitespecialrankaretransitivelynormal |