Characterizing rational groups whose irreducible characters vanish only on involutions

Authors: SAEED JAFARI, HESAM SHARIFI

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.

Keywords: Rational group, irreducible character, zero of character

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