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On the degrees of projective representations

Published online by Cambridge University Press:  18 May 2009

R. J. Higgs
R. J. Higgs
Affiliation:
Department of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 2 , May 1988 , pp. 133 - 135
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

1.Karpilovsky, G., Projective representations of finite groups (Monographs and textbooks in pure and applied mathematics 94, Marcel Dekker, 1985).Google Scholar
2.Morris, A. O., Projective representations of abelian groups, J. London Math. Soc. (2) 7 (1973), 235–238.CrossRefGoogle Scholar