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.
Rational group, irreducible character, zero of character
JAFARI, SAEED and SHARIFI, HESAM
"Characterizing rational groups whose irreducible characters vanish only on involutions,"
Turkish Journal of Mathematics: Vol. 39:
3, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol39/iss3/9