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 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| 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| Summary: | 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. |
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