Glasnik Matematicki, Vol. 45, No.2 (2010), 407-413.


Emmanuel Zhmud

Kharkiv State University, Ukraine

Abstract.   We study the finite groups G with a faithful irreducible character whose square is a linear combination of algebraically conjugate irreducible characters of G. In conclusion, we offer another proof of one theorem of Isaacs-Zisser.

2000 Mathematics Subject Classification.   20C15.

Key words and phrases.   Generalized character, algebraic conjugate, irreducible characters, quasikernel, exterior power.

Full text (PDF) (free access)

DOI: 10.3336/gm.45.2.08


  1. Y. Berkovich and E. Zhmud, Characters of Finite Groups, Parts 1, 2, AMS, Providence, 1998.
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  2. H. Blau and D. Chillag, On powers of characters and powers of conjugacy classes of a finite group, Proc. Amer. Math. Soc. 98 (1986), 7-10.
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  3. I. M. Isaacs and I. Zisser, Squares of characters with few irreducible constituents in finite groups, Arch. Math. (Basel) 63 (1994), 197-207.
    MathSciNet     CrossRef

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