Bulletin of the Korean Mathematical Society (대한수학회보)

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THE NON-EXISTENCE OF CERTAIN MOD p GALOIS REPRESENTATIONS

  • Moon, Hyunsuk (Graduate School of Mathematics, Kyushu University)
  • Published : 2003.08.01
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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

References

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Cited by

  1. On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields vol.48, pp.2, 2008, https://doi.org/10.5666/KMJ.2008.48.2.323
  2. 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS vol.01, pp.01, 2005, https://doi.org/10.1142/S1793042105000066
  3. Nonexistence of certain Galois representations for quadratic fields vol.14, pp.05, 2018, https://doi.org/10.1142/S1793042118500914