Geodesic
Projective Representations of Minimum Degree of Group Extensions
Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1092-1102

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a finite simple group and let F be an algebraically closed field. A faithful projective F-representation of G of smallest possible degree often cannot be lifted to an ordinary representation of G, though it can of course be lifted to an ordinary representation of some central extension of G. It is a natural question to ask whether by considering non-central extensions, it is possible in some cases to decrease the smallest degree of a faithful projective representation. 
Feit, Walter; Tits, Jacques. Projective Representations of Minimum Degree of Group Extensions. Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 1092-1102. doi: 10.4153/CJM-1978-092-5
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