$A note on $c$-normal subgroups of finite groups$

A note on $c$-normal subgroups of finite groups

Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1<|D|<|P|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $|H|=|D|$ are $c$-normal in $G$.

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Bibliographic Details
Date:	2018
Main Author:	Skiba, Alexander N.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	finite group supersoluble group $c$-normal subgroup maximal subgroup Sylow subgroup 20D20
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/930
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-930
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-9302018-03-21T06:47:49Z A note on $c$-normal subgroups of finite groups Skiba, Alexander N. finite group, supersoluble group, $c$-normal subgroup, maximal subgroup, Sylow subgroup 20D20 Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1<\|D\|<\|P\|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $\|H\|=\|D\|$ are $c$-normal in $G$. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/930 Algebra and Discrete Mathematics; Vol 4, No 3 (2005) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/930/459 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-03-21T06:47:49Z
collection	OJS
language	English
topic	finite group supersoluble group $c$-normal subgroup maximal subgroup Sylow subgroup 20D20
spellingShingle	finite group supersoluble group $c$-normal subgroup maximal subgroup Sylow subgroup 20D20 Skiba, Alexander N. A note on $c$-normal subgroups of finite groups
topic_facet	finite group supersoluble group $c$-normal subgroup maximal subgroup Sylow subgroup 20D20
format	Article
author	Skiba, Alexander N.
author_facet	Skiba, Alexander N.
author_sort	Skiba, Alexander N.
title	A note on $c$-normal subgroups of finite groups
title_short	A note on $c$-normal subgroups of finite groups
title_full	A note on $c$-normal subgroups of finite groups
title_fullStr	A note on $c$-normal subgroups of finite groups
title_full_unstemmed	A note on $c$-normal subgroups of finite groups
title_sort	note on $c$-normal subgroups of finite groups
description	Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1<\|D\|<\|P\|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $\|H\|=\|D\|$ are $c$-normal in $G$.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/930
work_keys_str_mv	AT skibaalexandern anoteoncnormalsubgroupsoffinitegroups AT skibaalexandern noteoncnormalsubgroupsoffinitegroups
first_indexed	2025-07-17T10:35:54Z
last_indexed	2025-07-17T10:35:54Z
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A note on \(c\)-normal subgroups of finite groups

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