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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152264 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862530006765273088 |
|---|---|
| author | Pinedo, H. |
| author_facet | Pinedo, H. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-24T02:41:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152264 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T02:41:00Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Pinedo, H. 2019-06-09T13:45:19Z 2019-06-09T13:45:19Z 2013 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. https://nasplib.isofts.kiev.ua/handle/123456789/152264 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. This work was supported by FAPESP of Brazil. The author would like to thank professors Mikhailo Dokuchaev and Boris Novikov for their many useful suggestions and stimulating discussions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On elementary domains of partial projective representations of groups Article published earlier |
| spellingShingle | On elementary domains of partial projective representations of groups Pinedo, H. |
| title | 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_short | On elementary domains of partial projective representations of groups |
| title_sort | on elementary domains of partial projective representations of groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152264 |
| work_keys_str_mv | AT pinedoh onelementarydomainsofpartialprojectiverepresentationsofgroups |