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) factor set is tot...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152264 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On elementary domains of partial projective representations of groups / H. Pinedo // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 63–82. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152264 |
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| record_format |
dspace |
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irk-123456789-1522642019-06-10T01:25:53Z On elementary domains of partial projective representations of groups Pinedo, H. 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 ≤ 4 with total factor set. 2013 Article On elementary domains of partial projective representations of groups / H. Pinedo // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 63–82. — Бібліогр.: 9 назв. — англ. 1726-3255 2010 MSC:Primary 20C25; Secondary 20M18. http://dspace.nbuv.gov.ua/handle/123456789/152264 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 ≤ 4 with total factor set. |
| format |
Article |
| author |
Pinedo, H. |
| spellingShingle |
Pinedo, H. On elementary domains of partial projective representations of groups Algebra and Discrete Mathematics |
| author_facet |
Pinedo, H. |
| author_sort |
Pinedo, H. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152264 |
| citation_txt |
On elementary domains of partial projective representations of groups / H. Pinedo // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 63–82. — Бібліогр.: 9 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT pinedoh onelementarydomainsofpartialprojectiverepresentationsofgroups |
| first_indexed |
2023-05-20T17:37:54Z |
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2023-05-20T17:37:54Z |
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1796153732228972544 |