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http://dx.doi.org/10.4134/BKMS.2003.40.3.537

THE NON-EXISTENCE OF CERTAIN MOD p GALOIS REPRESENTATIONS  

Moon, Hyunsuk (Graduate School of Mathematics, Kyushu University)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 537-544 More about this Journal
Abstract
The non-existence is proved of continuous irreducible representations p : Gal(Q/Q) \longrightarrow GL$_2$(F$_{p}$) with Artin conductor N outside p for a few small values of p and N.N.
Keywords
mod p Galois representation; Serre's conjecture; class field theory; Odlyzko's bound;
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