Glasnik Matematicki, Vol. 46, No. 2 (2011), 357-365.

FINITE GROUPS WITH A NONLINEAR IRREDUCIBLE CHARACTER HAVING FEW ZEROS

Emmanuel Zhmud

Kharkiv State University, Ukraine

Abstract.   We classify the finite groups with a nonlinear irreducible character χ such that the number of zeros nχ of χ satisfies a certain relation.

2000 Mathematics Subject Classification.   20D15.

Key words and phrases.   Zeros and unitary elements of a character.

Full text (PDF) (free access)

DOI: 10.3336/gm.46.2.08

References:

  1. Y. Berkovich, Groups of prime power order. Vol. 1, Walter de Gruyter, Berlin, 2008.
    MathSciNet    

  2. Ya. G. Berkovich and E. M. Zhmud, Characters of finite groups. Part 2, AMS, Providence, 1999.
    MathSciNet    
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