Geodesic
Groups whose Projective character degrees are powers of a prime†
Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 177-180

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

Let Gbe a finite group, and P:G → GL(n, ) be such that for all x, y ∈ G(i) P(x)P(y) = α(x, y)P(xy), and(ii)P(l) = In,where α(x, y) ∈ *; then P is a projective representation of G with cocycle α and degree n. For other basic definitions concerning projective representations see [4]. 
Groups whose Projective character degrees are powers of a prime†. Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 177-180. doi: 10.1017/S0017089500007199
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[1] 1.Glauberman, G., The revision project and pushing-up, pp. 207–223 in: Finite simple groups II (Academic Press, 1980). Google Scholar

[2] 2.Gluck, D. and Wolf, T. R., Defect groups and character heights in blocks of solvable groups II, J. Algebra 87, (1984), 222–246. Google Scholar | DOI

[3] 3.Gorenstein, D., Finite groups, (Harper and Row, 1968). Google Scholar

[4] 4.Haggarty, R. J. and Humphreys, J. F., Projective characters of finite groups, Proc. London Math. Soc. (3) 36 (1978), 176–192. Google Scholar | DOI

[5] 5.Isaacs, I. M. and Passman, D. S., Groups whose irreducible representations have degrees dividing p e, Illinois J. Math. 8 (1964), 446–457. Google Scholar | DOI

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