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Characters of  -degree with cyclotomic field of values
Author(s):
Gabriel
Navarro;
Pham
Huu
Tiep
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2833-2837.
MSC (2000):
Primary 20C15
Posted:
April 11, 2006
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Abstract:
If  is a prime number and  is a finite group, we show that  has an irreducible complex character of degree not divisible by  with values in the cyclotomic field  .
References:
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- 1.
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- 2.
- J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, `An ATLAS of Finite Groups', Clarendon Press, Oxford, 1985. MR 0827219 (88g:20025)
- 3.
- F. Digne and J. Michel, `Representations of Finite Groups of Lie Type', London Mathematical Society Student Texts 21, Cambridge University Press, 1991. MR 1118841 (92g:20063)
- 4.
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- 7.
- G. Navarro and Pham Huu Tiep, Rational irreducible characters and rational conjugacy classes in finite groups, submitted.
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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:
10.1090/S0002-9939-06-08564-9
PII:
S 0002-9939(06)08564-9
Received by editor(s):
April 22, 2005
Posted:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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