A sequence of factorizable subgroups

Let \(G\) be a non-abelian non-simple group. In this article the group \(G\) such that \(G=MC_G(M)\) will be studied, where \(M\) is a proper maximal subgroup of \(G\) and \(C_G(M)\) is the centralizer of \(M\) in \(G\).

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Date:2018
Main Author: Dabbaghian, Vahid
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/648
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Dabbaghian, Vahid
author_facet Dabbaghian, Vahid
author_sort Dabbaghian, Vahid
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datestamp_date 2018-04-04T09:17:05Z
description Let \(G\) be a non-abelian non-simple group. In this article the group \(G\) such that \(G=MC_G(M)\) will be studied, where \(M\) is a proper maximal subgroup of \(G\) and \(C_G(M)\) is the centralizer of \(M\) in \(G\).
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institution Algebra and Discrete Mathematics
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spelling admjournalluguniveduua-article-6482018-04-04T09:17:05Z A sequence of factorizable subgroups Dabbaghian, Vahid central product, maximal subgroup, sequence of subgroups 20E28; 20F14 Let \(G\) be a non-abelian non-simple group. In this article the group \(G\) such that \(G=MC_G(M)\) will be studied, where \(M\) is a proper maximal subgroup of \(G\) and \(C_G(M)\) is the centralizer of \(M\) in \(G\). Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/648 Algebra and Discrete Mathematics; Vol 10, No 2 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/648/182 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle central product
maximal subgroup
sequence of subgroups
20E28
20F14
Dabbaghian, Vahid
A sequence of factorizable subgroups
title A sequence of factorizable subgroups
title_full A sequence of factorizable subgroups
title_fullStr A sequence of factorizable subgroups
title_full_unstemmed A sequence of factorizable subgroups
title_short A sequence of factorizable subgroups
title_sort sequence of factorizable subgroups
topic central product
maximal subgroup
sequence of subgroups
20E28
20F14
topic_facet central product
maximal subgroup
sequence of subgroups
20E28
20F14
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/648
work_keys_str_mv AT dabbaghianvahid asequenceoffactorizablesubgroups
AT dabbaghianvahid sequenceoffactorizablesubgroups