Abstract
An odd degree rational valued character χ of a solvable group G is induced from a linear character of order 2 of some subgroup of G. We extend this result of Gow to certain cyclotomic fields.
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The research of the first author is partially supported by the Spanish Ministerio de Educación y Ciencia proyecto MTM2010-15296 and Prometeo/Generalitat Valenciana.
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Navarro, G., Vallejo, C. Certain monomial characters of p′-degree. Arch. Math. 99, 407–411 (2012). https://doi.org/10.1007/s00013-012-0449-0
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DOI: https://doi.org/10.1007/s00013-012-0449-0