On weakly \(s\)-normal subgroups of finite groups

In this paper, we present some sufficient conditions for a finite group to be \(p\)-nilpotent and \(p\)-supersoluble under assumption that some subgroups are weakly \(s\)-normal. Some earlier results are improved and extended.

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Видавець:Lugansk National Taras Shevchenko University
Дата:2024
Автор: Li, C. W.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2024
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Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1673
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Організація

Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1673
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-16732024-02-14T18:40:04Z On weakly \(s\)-normal subgroups of finite groups Li, C. W. weakly s-normal, p-supersoluble, p-nilpotent In this paper, we present some sufficient conditions for a finite group to be \(p\)-nilpotent and \(p\)-supersoluble under assumption that some subgroups are weakly \(s\)-normal. Some earlier results are improved and extended. Lugansk National Taras Shevchenko University 2024-02-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1673 10.12958/adm1673 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1673/pdf Copyright (c) 2024 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic weakly s-normal
p-supersoluble
p-nilpotent

spellingShingle weakly s-normal
p-supersoluble
p-nilpotent

Li, C. W.
On weakly \(s\)-normal subgroups of finite groups
topic_facet weakly s-normal
p-supersoluble
p-nilpotent

format Article
author Li, C. W.
author_facet Li, C. W.
author_sort Li, C. W.
title On weakly \(s\)-normal subgroups of finite groups
title_short On weakly \(s\)-normal subgroups of finite groups
title_full On weakly \(s\)-normal subgroups of finite groups
title_fullStr On weakly \(s\)-normal subgroups of finite groups
title_full_unstemmed On weakly \(s\)-normal subgroups of finite groups
title_sort on weakly \(s\)-normal subgroups of finite groups
description In this paper, we present some sufficient conditions for a finite group to be \(p\)-nilpotent and \(p\)-supersoluble under assumption that some subgroups are weakly \(s\)-normal. Some earlier results are improved and extended.
publisher Lugansk National Taras Shevchenko University
publishDate 2024
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1673
work_keys_str_mv AT licw onweaklysnormalsubgroupsoffinitegroups
first_indexed 2024-04-12T06:13:52Z
last_indexed 2024-04-12T06:13:52Z
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