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Groups whose projective characters are Galois conjugate

Published online by Cambridge University Press:  28 June 2011

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

Abstract

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 [6] for basic definitions and elementary results.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

[1] Higgs, R. J.. Groups with two protective characters. Math. Proc. Cambridge Philos. Soc. 103 (1987), 514.CrossRefGoogle Scholar
[2] Higgs, R. J.. Groups which act transitively on the projective characters of a normal subgroup. Math. Proc. Cambridge Philos. Soc. 104 (1988), 429434.CrossRefGoogle Scholar
[3] Howlett, R. B. and Isaacs, I. M.. On groups of central type. Math. Z. 179 (1982), 555569.CrossRefGoogle Scholar
[4] Isaacs, I. M.. Character theory of finite groups. Monographs and Textbooks in Pure and Applied Math. no. 69 (Academic Press, 1976).Google Scholar
[5] Isaacs, I.M.. Character correspondences in solvable groups. Advances in Math. 43 (1982), 284306.CrossRefGoogle Scholar
[6] Karpilovsky, G.. Projective representations of finite groups. Monographs and Textbooks in Pure and Applied Math. no. 94 (Marcel Dekker, 1985).Google Scholar
[7] Liebler, R. A. and Yellen, J. E.. In search of nonsolvable groups of central type. Pacific J. Math. 82 (1979), 485492.CrossRefGoogle Scholar