Finiteness results on certain mod \(p\) Galois representations

DOI10.1006/jnth.2000.2534zbMath0967.11021OpenAlexW1974774430MaRDI QIDQ1587424

Hyunsuk Moon

Publication date: 6 February 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2534

zbMATH Keywords

Generalized Riemann HypothesisdiscriminantGalois representations

Mathematics Subject Classification ID

Galois theory (11R32) (p)-adic theory, local fields (11F85) Galois representations (11F80)

Related Items

A non-solvable extension of ℚ unramified outside 7 ⋮ Induction formula for the Artin conductors of mod ℓ Galois representations ⋮ THE NONEXISTENCE OF CERTAIN NONSOLVABLE GALOIS EXTENSIONS OF NUMBER FIELDS OF SMALL DEGREE ⋮ The number of monomial mod \(p\) Galois representations with bounded conductor ⋮ Mod 𝑝 Galois representations of solvable image ⋮ On zeta functions of modular representations of a discrete group. ⋮ Nonsolvable number fields ramified only at 3 and 5 ⋮ On the finiteness of mod \(p\) Galois representations of a local field ⋮ The non-existence of certain mod 2 Galois representations of some small quadratic fields ⋮ The nonexistence of certain representations of the absolute Galois group of quadratic fields ⋮ Wild ramification bounds and simple group Galois extensions ramified only at $2$

Cites Work

• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The nonexistence of certain Galois extensions unramified outside 5
• Minorations de discriminants [d’après A. M. Odlyzko]
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