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Groups which act transitively on the projective characters of a normal subgroup

Published online by Cambridge University Press:  24 October 2008

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

All groups G considered in this paper are finite and all representations of G are defined over the complex numbers. The reader unfamiliar with projective representations is referred to [4] for basic definitions and elementary results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 429 - 434
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

[1]Higgs, R. J.. On the degrees of projective representations. Glasgow Math. J. 30 (1988), 133–135.CrossRefGoogle Scholar
[2]Higgs, R. J.. Groups with two projective characters. Math. Proc. Cambridge Philos Soc. 103 (1988), 5–14.CrossRefGoogle Scholar
[3]Howlett, R. B. and Isaacs, I. M.. On groups of central type. Math. Z. 179 (1982), 555–569.CrossRefGoogle Scholar
[4]Karpilovsky, G.. Projective Representations of Finite Groups. Monographs and Textbooks in Pure and Applied Mathematics, no. 94 (Marcel Dekker, 1985).Google Scholar
[5]Liebler, R. A. and Yellen, J. E.. In search of nonsolvable groups of central type. Pacific J. Math. 82 (1979), 485–492.CrossRefGoogle Scholar