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періодичних видань НАН України
On elementary domains of partial projective representations of groups
Репозиторій DSpace/Manakin
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On elementary domains of partial projective representations of groups
Інший ID:
2010 MSC:Primary 20C25; Secondary 20M18.
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
509
Завантажень:
199
Анотація:
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.
