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 On four-dimensional mod 2 Galois representations and a conjecture of Ash et al. Bull. Korean Math. Soc. 2007 Vol. 44, No. 1, 173-176 Printed March 1, 2007 Hyunsuk Moon Kyungpook National University Abstract : The non-existence is proved of four-dimensional mod 2 semisimple representations of ${\rm Gal}(\overline{\mathbb Q}/\mathbb Q)$ which are unramified outside 2. Keywords : mod $p$ Galois representation, Ash's conjecture, Odlyzko's bound MSC numbers : 11R32, 11S15 Downloads: Full-text PDF