Geodesic
On elementary domains of partial projective representations of groups
Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 63-82

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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. 
H. Pinedo. On elementary domains of partial projective representations of groups. Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 63-82. http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a6/
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