On elementary domains of partial projective representations of groups

• Date: 2018
• Main Author: Pinedo, Hector Edonis
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: elementary partial representation; partial projective representation; elementary domain; total factor set; Primary 20C25; Secondary 20M18
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/735
• Journal Title: Algebra and Discrete Mathematics

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...