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ISSN 1088-6826(e) ISSN 0002-9939(p)

On mod 3 Galois representations with conductor 4

Author(s): Hyunsuk Moon
Journal: Proc. Amer. Math. Soc. 135 (2007), 3109-3113.
MSC (2000): Primary 11F80, 11S15
Posted: 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.

References:

1.: L. E. Dickson, Linear Groups, Teubner, 1901, Leibzig.
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4.: H. Moon, The non-existence of certain mod Galois representations, Bull. Korean Math. Soc. 40 (2003), 537-544. MR 1996862 (2004d:11044)
5.: H. Moon and Y. Taguchi, Refinement of Tate's discriminant bound and non-existence theorems for mod p Galois representations, Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 641-654. MR 2046611 (2005a:11069)
6.: A. M. Odlyzko, Discriminant bounds, unpublished manuscript (1976), available at: http://www.dtc.umn.edu/~odlyzko/unpublished/discr.bound.table2.
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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: 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
Posted: June 21, 2007
Communicated by: Ken Ono
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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