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Algebra and Discrete Mathematics, 2013, Volume 15, Issue 1, Pages 63–82
(Mi adm412)
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This article is cited in 5 scientific papers (total in 5 papers)
RESEARCH ARTICLE
On elementary domains of partial projective representations of groups
H. Pinedo Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, 05508-090 São Paulo, SP, Brasil
Abstract:
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.
Keywords:
elementary partial representation, partial projective representation, elementary domain, total factor set.
Received: 12.03.2012 Revised: 06.06.2012
Citation:
H. Pinedo, “On elementary domains of partial projective representations of groups”, Algebra Discrete Math., 15:1 (2013), 63–82
Linking options:
https://www.mathnet.ru/eng/adm412 https://www.mathnet.ru/eng/adm/v15/i1/p63
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Abstract page: | 213 | Full-text PDF : | 80 | References: | 49 |
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