$On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups$

On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

Let $G$ be a finite group and $P$ be a $p$-subgroup of $G$. If $P$ is a Sylow subgroup of some normal subgroup of $G$, then we say that $P$ is normally embedded in $G$. Groups with normally embedded maximal subgroups of Sylow $p$-subgroup, where ${(|G|, p-1)=1}$, are studied. In...

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Date:	2020
Main Author:	Trofimuk, A.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2020
Subjects:	$p$-supersolvable group normally embedded subgroup maximal subgroup Sylow subgroup 20D10
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1128
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-1128
record_format	ojs
spelling	admjournalluguniveduua-article-11282020-05-14T18:27:22Z On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups Trofimuk, A. $p$-supersolvable group, normally embedded subgroup, maximal subgroup, Sylow subgroup 20D10 Let $G$ be a finite group and $P$ be a $p$-subgroup of $G$. If $P$ is a Sylow subgroup of some normal subgroup of $G$, then we say that $P$ is normally embedded in $G$. Groups with normally embedded maximal subgroups of Sylow $p$-subgroup, where ${(\|G\|, p-1)=1}$, are studied. In particular, the $p$-nilpotency of such groups is proved. 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/1128 10.12958/adm1128 Algebra and Discrete Mathematics; Vol 29, No 1 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1128/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1128/356 Copyright (c) 2020 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2020-05-14T18:27:22Z
collection	OJS
language	English
topic	$p$-supersolvable group normally embedded subgroup maximal subgroup Sylow subgroup 20D10
spellingShingle	$p$-supersolvable group normally embedded subgroup maximal subgroup Sylow subgroup 20D10 Trofimuk, A. On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
topic_facet	$p$-supersolvable group normally embedded subgroup maximal subgroup Sylow subgroup 20D10
format	Article
author	Trofimuk, A.
author_facet	Trofimuk, A.
author_sort	Trofimuk, A.
title	On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
title_short	On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
title_full	On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
title_fullStr	On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
title_full_unstemmed	On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
title_sort	on $p$-nilpotency of finite group with normally embedded maximal subgroups of some sylow subgroups
description	Let $G$ be a finite group and $P$ be a $p$-subgroup of $G$. If $P$ is a Sylow subgroup of some normal subgroup of $G$, then we say that $P$ is normally embedded in $G$. Groups with normally embedded maximal subgroups of Sylow $p$-subgroup, where ${(\|G\|, p-1)=1}$, are studied. In particular, the $p$-nilpotency of such groups is proved.
publisher	Lugansk National Taras Shevchenko University
publishDate	2020
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1128
work_keys_str_mv	AT trofimuka onpnilpotencyoffinitegroupwithnormallyembeddedmaximalsubgroupsofsomesylowsubgroups
first_indexed	2025-12-02T15:34:15Z
last_indexed	2025-12-02T15:34:15Z
_version_	1850411220260093952

On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

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