Geodesic
On projective characters of the same degree
Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 431-434

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

All groups G considered in this paper are finite and all representations of G are defined over the field of complex numbers. The reader unfamiliar with projective representations is referred to [9] for basic definitions and elementary results. Let Proj (G, α) denote the set of irreducible projective characters of a group G with cocyle α. In previous papers (for exampe [2], [4], and [6]) numerous authors have considered the situation when Proj(G, α) = 1 or 2; such groups are said to be of α-central type or of 2α-central type, respectively. In particular in [4, Theorem A] the author showed that if Proj(G, α) = {ξ1, ξ2}, then ξ1(1)=ξ2(1). This result has recently been independently confirmed in [8, Corollary C]. 
Higgs, R. J. On projective characters of the same degree. Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 431-434. doi: 10.1017/S0017089500032766
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[1] 1.Conway, J. H. et al. , An atlas of finite groups (Oxford University Press, 1985). Google Scholar

[2] 2.DeMeyer, F. R. and Janusz, G. J., Finite groups with an irreducible representation of large degree, Math. Z. 108 (1969), 145–153. Google Scholar | DOI

[3] 3.Feit, W. and Seitz, G. M., On finite rational groups and related topics, Illinois J. Math. 33 (1988), 103–131. Google Scholar

[4] 4.Higgs, R. J., Groups with two projective characters, Math. Proc. Camb. Phil. Soc. 103 (1988), 5–14. Google Scholar | DOI

[5] 5.Higgs, R. J., Projective characters of degree one and the inflation–restriction sequence, J. Austral. Math. Soc. (Series A) 46 (1989), 272–280. Google Scholar | DOI

[6] 6.Howlett, R. B. and Isaacs, I. M., On groups of central type, Math. Z. 179 (1982), 555–569. Google Scholar | DOI

[7] 7.Isaacs, I. M., Character correspondences in solvable groups, Advancesin Math. 43 (1982), 284–306. Google Scholar | DOI

[8] 8.Isaacs, I. M., Blocks with just two irreducible Brauer characters in solvable groups, J. Algebra 170 (1994), 487–503. Google Scholar | DOI

[9] 9.Karpilovsky, G., Projective representations of finite groups, Monographs and Textbooks in Pure and Applied Mathematics 94. (Marcel Dekker, 1985). Google Scholar

[10] 10.Liebler, R. A. and Yellen, J. E., In search of nonsolvable groups of central type, Pacific J. Math. 82 (1979), 485–492. Google Scholar | DOI

[11] 11.Ng, N. G., Degrees of irreducible projective representations of finite groups, J. London Math. Soc. (2) 10 (1975), 379–384. Google Scholar | DOI

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