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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
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Abstract:
The non-existence is proved of 2-dimensional mod 3 irreducible representations of  of Artin conductor dividing 4.
References:
-
- 1.
- L. E. Dickson, Linear Groups, Teubner, 1901, Leibzig.
- 2.
- J. Jones, Tables of number fields with prescribed ramification, http://math.la.asu. edu/~jj/.
- 3.
- C. Khare, On Serre's modularity conjecture: the level one case, Duke Math. J. 134 (2006), 557-589. MR 2254626
- 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- A. M. Odlyzko, Discriminant bounds, unpublished manuscript (1976), available at: http://www.dtc.umn.edu/~odlyzko/unpublished/discr.bound.table2.
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- 9.
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- 10.
- J. Tate, The non-existence of certain Galois extensions of
 unramified outside  , Contemp. Math. 174 (1994), 153-156. MR 1299740 (95i:11132)
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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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