Characters of 𝑝’-degree with cyclotomic field of values

Navarro, Gabriel; Tiep, Pham

doi:10.1090/S0002-9939-06-08564-9

Characters of $p’$-degree with cyclotomic field of values
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by Gabriel Navarro and Pham Huu Tiep PDF

Proc. Amer. Math. Soc. 134 (2006), 2833-2837 Request permission

Abstract:

If $p$ is a prime number and $G$ is a finite group, we show that $G$ has an irreducible complex character of degree not divisible by $p$ with values in the cyclotomic field $\mathbb {Q}_p$.

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