On the degrees of projective representations
Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 133-135
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All representations and characters studied in this paper are taken over the complex numbers, and all groups considered are finite. For basic definitions concerning projective representations see [1].If G is a group and or is a cocycle of G we denote by Proj(G, α) = {ξ1, ..., ξt} the set of irreducible projective characters of G with cocycle α, where of course t is the number of α-regular conjugacy classes of G; ξ1, (1) is called the degree of ξ1. Also as normal, M(G) will denote the Schur multiplier of G, [α] the cohomology classof α, and [1] the cohomology class of the trivial cocycle of G.
Higgs, R. J. On the degrees of projective representations. Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 133-135. doi: 10.1017/S001708950000714X
@article{10_1017_S001708950000714X,
author = {Higgs, R. J.},
title = {On the degrees of projective representations},
journal = {Glasgow mathematical journal},
pages = {133--135},
year = {1988},
volume = {30},
number = {2},
doi = {10.1017/S001708950000714X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000714X/}
}
[1] 1.Karpilovsky, G., Projective representations of finite groups (Monographs and textbooks in pure and applied mathematics 94, Marcel Dekker, 1985). Google Scholar
[2] 2.Morris, A. O., Projective representations of abelian groups, J. London Math. Soc. (2) 7 (1973), 235–238. Google Scholar | DOI
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