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Groups with two projective characters

Published online by Cambridge University Press:  24 October 2008

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

Extract

All representations and characters studied in this paper are taken over the field of complex numbers, and all groups considered are finite. The reader unfamiliar with projective representations is referred to [8] for basic definitions and terminology.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

[1]Conway, J. H. et al. An Atlas of Finite Groups (Oxford University Press, 1985).Google Scholar
[2]Demeyer, F. R. and Janusz, G. J.. Finite groups with an irreducible representation of large degree. Math. Z. 108 (1969), 145153.CrossRefGoogle Scholar
[3]Griess, R. L.. Schur multipliers of the known finite simple groups. II. In The Santa Cruz Conference on Finite Groups, Proc. Sympos. Pure Math. 37 (Amer. Math. Soc, 1980), 279282.CrossRefGoogle Scholar
[4]Higgs, R. J.. Groups whose protective character degrees are powers of a prime. To appear in Glasgow Math. J. (1988).CrossRefGoogle Scholar
[5]Higgs, R. J.. On the degrees of projective representations. To appear in Glasgow Math. J. (1988).CrossRefGoogle Scholar
[6]Howlett, R. B. and Isaacs, I. M.. On groups of central type. Math. Z. 179 (1982), 555569.CrossRefGoogle Scholar
[7]Iwahori, N. and Matsumoto, H.. Several remarks on projective representations of finite groups. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 10 (1964), 129146.Google Scholar
[8]Karpilovsky, G.. Projective Representations of Finite Groups. Monographs and Textbooks in Pure and Applied Mathematics 94 (Marcel Dekker, 1985).Google Scholar
[9]Liebler, R. A. and Yellen, J. E.. In search of nonsolvable groups of central type. Pacific J. Math. 82 (1979), 485492.CrossRefGoogle Scholar
[10]Macdonald, I. G.. Numbers of conjugacy classes in some finite classical groups. Bull. Austral. Math. Soc. 23 (1981), 2348.CrossRefGoogle Scholar
[11]Mordell, L. J.. Diophantine equations. Pure and Applied Mathematics no. 30 (Academic Press, 1969).Google Scholar
[12]Read, E. W.. On the centre of a representation group. J. London Math. Soc. (2) 16 (1977), 4350.CrossRefGoogle Scholar