Groups with many pronormal and transitively normal subgroups

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  \(K\geq H\)   such  that   \(H\)    is  subnormal in  \(K.\) The study of   radical  groups, whose   not  finitely  generated  subgroups  are transitively normal, has been start...

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Бібліографічні деталі
Дата:2018
Автор: Semko (Jr.), N. N.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
pronormal subgroup
locally nilpotent group
transitively normal subgroup
radical group
non finitely generated subgroups
20E15
2019
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/747
Теги: Додати тег
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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-747
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7472018-04-26T00:55:03Z Groups with many pronormal and transitively normal subgroups Semko (Jr.), N. N. pronormal subgroup, locally nilpotent group, transitively normal subgroup, radical group, non finitely generated subgroups 20E15, 2019 A subgroup  \(H\)  of a group  \(G\)  is said to be transitively normal in  \(G,\) if  \(H\)  is normal in every subgroup  \(K\geq H\)   such  that   \(H\)    is  subnormal in  \(K.\) The study of   radical  groups, whose   not  finitely  generated  subgroups  are transitively normal, has been started by  L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin. In this  paper  the  study  of such  groups  is  continued. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/747 Algebra and Discrete Mathematics; Vol 15, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/747/277 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic pronormal subgroup
locally nilpotent group
transitively normal subgroup
radical group
non finitely generated subgroups
20E15
2019
spellingShingle pronormal subgroup
locally nilpotent group
transitively normal subgroup
radical group
non finitely generated subgroups
20E15
2019
Semko (Jr.), N. N.
Groups with many pronormal and transitively normal subgroups
topic_facet pronormal subgroup
locally nilpotent group
transitively normal subgroup
radical group
non finitely generated subgroups
20E15
2019
format Article
author Semko (Jr.), N. N.
author_facet Semko (Jr.), N. N.
author_sort Semko (Jr.), N. N.
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  \(K\geq H\)   such  that   \(H\)    is  subnormal in  \(K.\) The study of   radical  groups, whose   not  finitely  generated  subgroups  are transitively normal, has been started by  L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin. In this  paper  the  study  of such  groups  is  continued.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/747
work_keys_str_mv AT semkojrnn groupswithmanypronormalandtransitivelynormalsubgroups
first_indexed 2024-04-12T06:26:17Z
last_indexed 2024-04-12T06:26:17Z
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