Note on 2-rational fields

DOI10.1016/j.jnt.2008.06.012zbMath1222.11134arXiv0805.1168OpenAlexW2951026500MaRDI QIDQ999728

Jean-François Jaulent, Georges Gras

Publication date: 10 February 2009

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

Full work available at URL: https://arxiv.org/abs/0805.1168

zbMATH Keywords

class field theory\(p\)-rational fields\(\ell \)-ramification\(\ell \)-rational fields\(\ell \)-regular fields\(p\)-regular fields2-rational fields2-regular fields

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Galois cohomology (11R34)

Related Items

On the \(T\)-ramified, \(S\)-split \(p\)-class field towers over an extension of degree prime to \(p\) ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galois 2-extensions unramified outside 2
• On regular number fields
• On the Leopoldt conjecture on the p-adic regulators
• Global \(\ell\)-adique clean field theory
• \(p\)-rational fields, \(p\)-regular fields and restricted ramification
• Finitely generated pro-\(2\) groups with a free subgroup of index \(2\)
• 2-birational quadratic extensions of totally real fields
• On Galois groups of p-closed algebraic number fields with restricted ramification.
• On Galois groups of p-closed algebraic number fields with restricted ramification II.
• Logarthme p-adique et groupes de Galois.