On elementary domains of partial projective representations of groups

On elementary domains of partial projective representations of groups

We characterize the finite groups containing only elementary domains of factor sets of  partial projective representations. A condition for a finite subset  \(A\) of a group \(G,\) which contains the unity of the group, to induce an elementary partial representation, of \(G\) whose (idempotent) fact...

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Date:2018
Main Author: Pinedo, Hector Edonis
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
elementary partial representation
partial projective representation
elementary domain
total factor set
Primary 20C25
Secondary 20M18
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735
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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-735
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7352018-04-26T00:47:27Z On elementary domains of partial projective representations of groups Pinedo, Hector Edonis elementary partial representation, partial projective representation, elementary domain, total factor set Primary 20C25; Secondary 20M18 We characterize the finite groups containing only elementary domains of factor sets of  partial projective representations. A condition for a finite subset  \(A\) of a group \(G,\) which contains the unity of the group, to induce an elementary partial representation, of \(G\) whose (idempotent) factor set is total is given. Finally, we characterize  the elementary partial representation of abelian groups of degrees \(\le 4\) with total factor set. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735 Algebra and Discrete Mathematics; Vol 15, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735/266 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T00:47:27Z
collection OJS
language English
topic elementary partial representation
partial projective representation
elementary domain
total factor set
Primary 20C25
Secondary 20M18
spellingShingle elementary partial representation
partial projective representation
elementary domain
total factor set
Primary 20C25
Secondary 20M18
Pinedo, Hector Edonis
On elementary domains of partial projective representations of groups
topic_facet elementary partial representation
partial projective representation
elementary domain
total factor set
Primary 20C25
Secondary 20M18
format Article
author Pinedo, Hector Edonis
author_facet Pinedo, Hector Edonis
author_sort Pinedo, Hector Edonis
title On elementary domains of partial projective representations of groups
title_short On elementary domains of partial projective representations of groups
title_full On elementary domains of partial projective representations of groups
title_fullStr On elementary domains of partial projective representations of groups
title_full_unstemmed On elementary domains of partial projective representations of groups
title_sort on elementary domains of partial projective representations of groups
description We characterize the finite groups containing only elementary domains of factor sets of  partial projective representations. A condition for a finite subset  \(A\) of a group \(G,\) which contains the unity of the group, to induce an elementary partial representation, of \(G\) whose (idempotent) factor set is total is given. Finally, we characterize  the elementary partial representation of abelian groups of degrees \(\le 4\) with total factor set.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735
work_keys_str_mv AT pinedohectoredonis onelementarydomainsofpartialprojectiverepresentationsofgroups
first_indexed 2025-07-17T10:31:31Z
last_indexed 2025-07-17T10:31:31Z
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