A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only

DOI10.1016/j.crma.2008.12.004zbMath1166.11038arXiv0811.4379OpenAlexW2036929484MaRDI QIDQ1004533

Lassina Dembélé

Publication date: 11 March 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4379

zbMATH Keywords

discriminantnon-solvable Galois extension

Mathematics Subject Classification ID

Galois theory (11R32) Galois representations (11F80) Class numbers, class groups, discriminants (11R29)

Related Items

A non-solvable extension of ℚ unramified outside 7, Congruences between modular forms, An intriguing hyperelliptic Shimura curve quotient of genus 16, NONSOLVABLE POLYNOMIALS WITH FIELD DISCRIMINANT 5^A, Hecke stability and weight 1 modular forms, Nonsolvable number fields ramified only at 3 and 5, Wild ramification bounds and simple group Galois extensions ramified only at $2$

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Galois representations associated to Hilbert modular forms
• On Artin L-functions associated to Hilbert modular forms of weight one
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On ordinary \(\lambda\)-adic representations associated to modular forms
• The nonexistence of certain Galois extensions unramified outside 5
• The Magma algebra system. I: The user language
• Tamely ramified towers and discriminant bounds for number fields. II.
• Algebraic modular forms
• On the meromorphic continuation of degree two \(L\)-functions
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• On Galois representations associated to Hilbert modular forms.
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert