$Finite group with given $c$-permutable subgroups$

Finite group with given $c$-permutable subgroups

Following [1] we say that subgroups $H$ and $T$ of a group $G$ are $c$- permutable in $G$ if there exists an element $x\in G$ such that $HT^x=T^xH$. We prove that a finite soluble group $G$ is supersoluble if and only if every maximal subgroup of every Sylow subgroup of $G$ is c-...

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Date:	2018
Main Author:	Ahmad, Ahmad Alsheik
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	finite group maximal subgroup Sylow subgroup supersoluble group $c$-permutable subgroup 20D10
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/986
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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-986
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-9862018-05-15T05:12:44Z Finite group with given $c$-permutable subgroups Ahmad, Ahmad Alsheik finite group, maximal subgroup, Sylow subgroup, supersoluble group, $c$-permutable subgroup 20D10 Following [1] we say that subgroups $H$ and $T$ of a group $G$ are $c$- permutable in $G$ if there exists an element $x\in G$ such that $HT^x=T^xH$. We prove that a finite soluble group $G$ is supersoluble if and only if every maximal subgroup of every Sylow subgroup of $G$ is c-permutable with all Hall subgroups of $G$. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/986 Algebra and Discrete Mathematics; Vol 3, No 2 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/986/515 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-05-15T05:12:44Z
collection	OJS
language	English
topic	finite group maximal subgroup Sylow subgroup supersoluble group $c$-permutable subgroup 20D10
spellingShingle	finite group maximal subgroup Sylow subgroup supersoluble group $c$-permutable subgroup 20D10 Ahmad, Ahmad Alsheik Finite group with given $c$-permutable subgroups
topic_facet	finite group maximal subgroup Sylow subgroup supersoluble group $c$-permutable subgroup 20D10
format	Article
author	Ahmad, Ahmad Alsheik
author_facet	Ahmad, Ahmad Alsheik
author_sort	Ahmad, Ahmad Alsheik
title	Finite group with given $c$-permutable subgroups
title_short	Finite group with given $c$-permutable subgroups
title_full	Finite group with given $c$-permutable subgroups
title_fullStr	Finite group with given $c$-permutable subgroups
title_full_unstemmed	Finite group with given $c$-permutable subgroups
title_sort	finite group with given $c$-permutable subgroups
description	Following [1] we say that subgroups $H$ and $T$ of a group $G$ are $c$- permutable in $G$ if there exists an element $x\in G$ such that $HT^x=T^xH$. We prove that a finite soluble group $G$ is supersoluble if and only if every maximal subgroup of every Sylow subgroup of $G$ is c-permutable with all Hall subgroups of $G$.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/986
work_keys_str_mv	AT ahmadahmadalsheik finitegroupwithgivencpermutablesubgroups
first_indexed	2025-07-17T10:31:49Z
last_indexed	2025-07-17T10:31:49Z
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Finite group with given \(c\)-permutable subgroups

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