Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 3

Characterizing rational groups whose irreducible characters vanish only on involutions

Pages
408–411
DOI
—

Abstract

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.

Özet

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