Serial group rings of finite groups. General linear and close groups

For a given \(p\), we determine when the \(p\)-modular group ring of a group from \(\mathrm{GL}(n,q)\), \(\mathrm{SL}(n,q)\)and \(\mathrm{PSL}(n,q)\)-series is serial.

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Date:2015
Main Authors: Kukharev, Andrei, Puninski, Gena
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2015
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Kukharev, Andrei
Puninski, Gena
author_facet Kukharev, Andrei
Puninski, Gena
author_sort Kukharev, Andrei
baseUrl_str
collection OJS
datestamp_date 2015-11-10T19:25:54Z
description For a given \(p\), we determine when the \(p\)-modular group ring of a group from \(\mathrm{GL}(n,q)\), \(\mathrm{SL}(n,q)\)and \(\mathrm{PSL}(n,q)\)-series is serial.
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institution Algebra and Discrete Mathematics
language English
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publishDate 2015
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-1022015-11-10T19:25:54Z Serial group rings of finite groups. General linear and close groups Kukharev, Andrei Puninski, Gena serial ring, group ring, general linear group, special linear group, projective special linear group 20C05, 20G40 For a given \(p\), we determine when the \(p\)-modular group ring of a group from \(\mathrm{GL}(n,q)\), \(\mathrm{SL}(n,q)\)and \(\mathrm{PSL}(n,q)\)-series is serial. Lugansk National Taras Shevchenko University 2015-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102 Algebra and Discrete Mathematics; Vol 20, No 1 (2015): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102/32 Copyright (c) 2015 Algebra and Discrete Mathematics
spellingShingle serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
Kukharev, Andrei
Puninski, Gena
Serial group rings of finite groups. General linear and close groups
title Serial group rings of finite groups. General linear and close groups
title_full Serial group rings of finite groups. General linear and close groups
title_fullStr Serial group rings of finite groups. General linear and close groups
title_full_unstemmed Serial group rings of finite groups. General linear and close groups
title_short Serial group rings of finite groups. General linear and close groups
title_sort serial group rings of finite groups. general linear and close groups
topic serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
topic_facet serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102
work_keys_str_mv AT kukharevandrei serialgroupringsoffinitegroupsgenerallinearandclosegroups
AT puninskigena serialgroupringsoffinitegroupsgenerallinearandclosegroups