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Proceedings of the American Mathematical Society

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Characters of $ p'$-degree with cyclotomic field of values


Authors: Gabriel Navarro and Pham Huu Tiep
Journal: Proc. Amer. Math. Soc. 134 (2006), 2833-2837
MSC (2000): Primary 20C15
DOI: https://doi.org/10.1090/S0002-9939-06-08564-9
Published electronically: April 11, 2006
MathSciNet review: 2231605
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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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Additional Information

Gabriel Navarro
Affiliation: Facultat de Matemàtiques, Universitat de València, Burjassot, València 46100, Spain
Email: gabriel@uv.es

Pham Huu Tiep
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email: tiep@math.ufl.edu

DOI: https://doi.org/10.1090/S0002-9939-06-08564-9
Received by editor(s): April 22, 2005
Published electronically: April 11, 2006
Additional Notes: The first author was partially supported by the Ministerio de Educación y Ciencia proyecto MTM2004-06067-C02-01
The second author gratefully acknowledges the support of the NSA (grant H98230-04-0066).
Communicated by: Jonathan I. Hall
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.