Abstract
We prove a divisibility property of the fixed field in a cyclotomic field of the Frobenius automorphism where p is a prime, k is a positive integer relatively prime to p, and ξ is any -root of unity. This implies that, for a finite group G, recent Navarro-Tiep’s conjecture on fields of values of -degree irreducible characters of G follows from the celebrated Galois-McKay conjecture under a natural condition on p and the order of G.
Published Version
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