Rings of functions on non-abelian groups

Rings of functions on non-abelian groups

For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\m...

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Date:2018
Main Author: Maxson, C. J.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Covers of groups
rings of functions
16S60
16N20; 20D99
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-769
record_format ojs
spelling admjournalluguniveduua-article-7692018-04-04T08:31:48Z Rings of functions on non-abelian groups Maxson, C. J. Covers of groups; rings of functions 16S60, 16N20; 20D99 For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\mathcal{R}(C))}\). 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/769 Algebra and Discrete Mathematics; Vol 8, No 1 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769/299 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T08:31:48Z
collection OJS
language English
topic Covers of groups
rings of functions
16S60
16N20; 20D99
spellingShingle Covers of groups
rings of functions
16S60
16N20; 20D99
Maxson, C. J.
Rings of functions on non-abelian groups
topic_facet Covers of groups
rings of functions
16S60
16N20; 20D99
format Article
author Maxson, C. J.
author_facet Maxson, C. J.
author_sort Maxson, C. J.
title Rings of functions on non-abelian groups
title_short Rings of functions on non-abelian groups
title_full Rings of functions on non-abelian groups
title_fullStr Rings of functions on non-abelian groups
title_full_unstemmed Rings of functions on non-abelian groups
title_sort rings of functions on non-abelian groups
description For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\mathcal{R}(C))}\).
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769
work_keys_str_mv AT maxsoncj ringsoffunctionsonnonabeliangroups
first_indexed 2025-12-02T15:32:32Z
last_indexed 2025-12-02T15:32:32Z
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