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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Integral representations for the alternating groups


Author: Udo Riese
Journal: Proc. Amer. Math. Soc. 130 (2002), 3515-3518
MSC (2000): Primary 20C10, 20C30
Published electronically: May 1, 2002
MathSciNet review: 1918827
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Abstract: We show that every complex representation of an alternating group can be realized over the ring of integers of a ``small'' abelian number field.


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Additional Information

Udo Riese
Affiliation: Universität Tübingen, Mathematisches Institut, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
Email: udo.riese@uni-tuebingen.de

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06518-8
PII: S 0002-9939(02)06518-8
Received by editor(s): May 3, 2001
Received by editor(s) in revised form: July 30, 2001
Published electronically: May 1, 2002
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2002 American Mathematical Society