Open Access
May 2008 The non-existence of certain mod 2 Galois representations of some small quadratic fields
Hyunsuk Moon, Yuichiro Taguchi
Proc. Japan Acad. Ser. A Math. Sci. 84(5): 63-67 (May 2008). DOI: 10.3792/pjaa.84.63

Abstract

For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois representations of degree 2 unramified outside $\{2,\infty\}$.

Citation

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Hyunsuk Moon. Yuichiro Taguchi. "The non-existence of certain mod 2 Galois representations of some small quadratic fields." Proc. Japan Acad. Ser. A Math. Sci. 84 (5) 63 - 67, May 2008. https://doi.org/10.3792/pjaa.84.63

Information

Published: May 2008
First available in Project Euclid: 1 May 2008

MathSciNet: MR2415898
zbMATH: 1165.11052
Digital Object Identifier: 10.3792/pjaa.84.63

Subjects:
Primary: 11F80 , 11R32 , 11R39

Keywords: Mod $p$ Galois representation , non-existence , Serre’s modularity conjecture

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 5 • May 2008
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