@article{810f553cf22945379c56b57a039654ce,
title = "Degrees of rational characters of finite groups",
abstract = "A classical theorem of John Thompson on character degrees states that if the degree of any complex irreducible character of a finite group G is 1 or divisible by a prime p, then G has a normal p-complement. In this paper, we consider fields of values of characters and prove some improvements of this result.",
keywords = "Normal p-complement, Rational character",
author = "Gabriel Navarro and Tiep, {Pham Huu}",
note = "Funding Information: ✩ The research of the first author is partially supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia proyecto MTM2007-61161, and a fellowship from Programa de Movilidad. The second author gratefully acknowledges the support of the NSF (grants DMS-0600967 and DMS-0901241). * Corresponding author. E-mail addresses: gabriel@uv.es (G. Navarro), tiep@math.arizona.edu (P.H. Tiep).",
year = "2010",
month = jun,
doi = "10.1016/j.aim.2009.12.023",
language = "English (US)",
volume = "224",
pages = "1121--1142",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "3",
}