$On well $p$-embedded subgroups of finite groups$

On well $p$-embedded subgroups of finite groups

Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{s G}$ the subgroup of $H$ genarated by all those subgroups of $H$ which are $s$-permutable in $G$. Then we say that $H$ is well $p$-embedded in $G$ if $G$ has a quasinormal subgroup $T$ such that $HT=G$ and \(T\...

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Datum:	2018
Hauptverfasser:	Hutsko, Nataliya V., Skiba, Alexander N.
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2018
Schlagworte:	quasinormal group $s$-permutable group well $p$-embedded group 20D10 20D20 20E28
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808
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Назва журналу:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-808
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spelling	admjournalluguniveduua-article-8082018-03-22T09:39:19Z On well $p$-embedded subgroups of finite groups Hutsko, Nataliya V. Skiba, Alexander N. quasinormal group, $s$-permutable group, well $p$-embedded group 20D10, 20D20, 20E28 Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{s G}$ the subgroup of $H$ genarated by all those subgroups of $H$ which are $s$-permutable in $G$. Then we say that $H$ is well $p$-embedded in $G$ if $G$ has a quasinormal subgroup $T$ such that $HT=G$ and $T\cap H\leq H_{s G}$. In the present article we use the well $p$-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808 Algebra and Discrete Mathematics; Vol 7, No 2 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808/338 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-03-22T09:39:19Z
collection	OJS
language	English
topic	quasinormal group $s$-permutable group well $p$-embedded group 20D10 20D20 20E28
spellingShingle	quasinormal group $s$-permutable group well $p$-embedded group 20D10 20D20 20E28 Hutsko, Nataliya V. Skiba, Alexander N. On well $p$-embedded subgroups of finite groups
topic_facet	quasinormal group $s$-permutable group well $p$-embedded group 20D10 20D20 20E28
format	Article
author	Hutsko, Nataliya V. Skiba, Alexander N.
author_facet	Hutsko, Nataliya V. Skiba, Alexander N.
author_sort	Hutsko, Nataliya V.
title	On well $p$-embedded subgroups of finite groups
title_short	On well $p$-embedded subgroups of finite groups
title_full	On well $p$-embedded subgroups of finite groups
title_fullStr	On well $p$-embedded subgroups of finite groups
title_full_unstemmed	On well $p$-embedded subgroups of finite groups
title_sort	on well $p$-embedded subgroups of finite groups
description	Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{s G}$ the subgroup of $H$ genarated by all those subgroups of $H$ which are $s$-permutable in $G$. Then we say that $H$ is well $p$-embedded in $G$ if $G$ has a quasinormal subgroup $T$ such that $HT=G$ and $T\cap H\leq H_{s G}$. In the present article we use the well $p$-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808
work_keys_str_mv	AT hutskonataliyav onwellpembeddedsubgroupsoffinitegroups AT skibaalexandern onwellpembeddedsubgroupsoffinitegroups
first_indexed	2025-12-02T15:43:23Z
last_indexed	2025-12-02T15:43:23Z
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On well \(p\)-embedded subgroups of finite groups

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