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

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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Bibliographic Details
Date:2015
Main Authors: Kukharev, Andrei, Puninski, Gena
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2015
Subjects:
serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
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
id oai:ojs.admjournal.luguniv.edu.ua:article-102
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2015-11-10T19:25:54Z
collection OJS
language English
topic serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
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
topic_facet serial ring
group ring
general linear group
special linear group
projective special linear group
20C05
20G40
format Article
author Kukharev, Andrei
Puninski, Gena
author_facet Kukharev, Andrei
Puninski, Gena
author_sort Kukharev, Andrei
title 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_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_sort serial group rings of finite groups. general linear and close groups
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2015
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102
work_keys_str_mv AT kukharevandrei serialgroupringsoffinitegroupsgenerallinearandclosegroups
AT puninskigena serialgroupringsoffinitegroupsgenerallinearandclosegroups
first_indexed 2025-07-17T10:34:07Z
last_indexed 2025-07-17T10:34:07Z
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