Glasnik Matematicki, Vol. 45, No.1 (2010), 85-92.

FINITE GROUPS WITH A FAITHFUL REAL-VALUED IRREDUCIBLE CHARACTER WHOSE SQUARE HAS EXACTLY TWO DISTINCT IRREDUCIBLE CONSTITUENTS

Emmanuel Zhmud

Kharkiv State University, Ukraine


Abstract.   We study the groups satisfying the property stated in the title.

2000 Mathematics Subject Classification.   20D15.

Key words and phrases.   Faithful irreducible character, square of irreducible characters, zeros of characters.


Full text (PDF) (free access)

DOI: 10.3336/gm.45.1.07


References:

  1. Y. G. Berkovich and E. M. Zhmud, Characters of Finite Groups. Parts 1 and 2, Translations of Mathematical Monographs 172 and 181, AMS, Providence, RI, 1998.
    MathSciNet     MathSciNet

  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.
    MathSciNet     CrossRef

  3. I. M. Isaacs, Character theory of finite groups, Academic Press, New York, 1976.
    MathSciNet

  4. 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


Glasnik Matematicki Home Page

closeAccessibilityrefresh

If you want to save the settings pemanently click the Save button, otherwise the setting will be reset to default when you close the browser.