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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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
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| 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 |
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2025-07-17T10:31:31Z |
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2025-07-17T10:31:31Z |
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1837890138721484800 |