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Groups with only two nonlinear non-faithful irreducible characters. (English) Zbl 07088795
Summary: We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.
MSC:
 20C15 Ordinary representations and characters
Full Text:
References:
 [1] Iranmanesh, A.; Saeidi, A., Finite groups with a unique nonlinear nonfaithful irreducible character, Arch. Math., Brno 47 (2011), 91-98 [2] Li, Y.; Chen, X.; Li, H., Finite $$p$$-groups with exactly two nonlinear non-faithful irreducible characters, To appear in Czech. Math. J [3] Saeidi, A., Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character, Cent. Eur. J. Math. 12 (2014), 79-83 [4] Seitz, G., Finite groups having only one irreducible representation of degree greater than one, Proc. Am. Math. Soc. 19 (1968), 459-461 [5] Zhang, G., Finite groups with exactly two nonlinear irreducible characters, Chin. Ann. Math., Ser. A 17 (1996), 227-232 Chinese
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