Glasnik Matematicki, Vol. 45, No.2 (2010), 407-413.
ON SQUARES OF IRREDUCIBLE CHARACTERS
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.
Key words and phrases. Generalized character, algebraic conjugate,
irreducible characters, quasikernel, exterior power.
Full text (PDF) (free access)
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