Abstract
A finite group G all of whose nonlinear irreducible characters are rational is called a \({\mathbb{Q}_1}\)-group. In this paper, we obtain some results concerning the structure of \({\mathbb{Q}_1}\)-groups.
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Darafsheh, M.R., Iranmanesh, A. & Moosavi, S.A. Groups whose non-linear irreducible characters are rational valued. Arch. Math. 94, 411–418 (2010). https://doi.org/10.1007/s00013-010-0110-8
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DOI: https://doi.org/10.1007/s00013-010-0110-8