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

 

On mod 3 Galois representations with conductor 4


Author: Hyunsuk Moon
Journal: Proc. Amer. Math. Soc. 135 (2007), 3109-3113
MSC (2000): Primary 11F80, 11S15
Published electronically: June 21, 2007
MathSciNet review: 2322740
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Abstract: The non-existence is proved of 2-dimensional mod 3 irreducible representations of $ \operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ of Artin conductor dividing 4.


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Additional Information

Hyunsuk Moon
Affiliation: Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea
Email: hsmoon@knu.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08848-X
PII: S 0002-9939(07)08848-X
Received by editor(s): March 2, 2006
Received by editor(s) in revised form: July 24, 2006
Published electronically: June 21, 2007
Communicated by: Ken Ono
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.