On mod 3 Galois representations with conductor 4

Moon, Hyunsuk

doi:10.1090/S0002-9939-07-08848-X

On mod 3 Galois representations with conductor 4
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Proc. Amer. Math. Soc. 135 (2007), 3109-3113 Request permission

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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