On elementary domains of partial projective representations of groups

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Pinedo, H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152264
• 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.

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...