Saeid JAFARI, Hesam SHARIFI

5482

Characterizing rational groups whose irreducible characters vanish only on involutions

A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.
Anahtar Kelimeler:

Rational group, irreducible character, zero of character

Characterizing rational groups whose irreducible characters vanish only on involutions

A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.
Keywords:

Rational group, irreducible character, zero of character,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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