Torsion Galois modules and embeddings in \(\mathbb Z_p\)-extensions

DOI10.1016/0022-314X(88)90008-XzbMath0666.12002MaRDI QIDQ1116971

Denis Hemard

Publication date: 1988

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

zbMATH Keywords

torsion Galois modulemaximal p-ramified abelian pro-p extension

Mathematics Subject Classification ID

Galois theory (11R32) Cyclotomic extensions (11R18)

Related Items

On the Galois structure of arithmetic cohomology. II: Ray class groups, On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field, Initial stage of a \(\mathbb{Z}_ \ell\)-extension

Cites Work

• A note on the group of units of an algebraic number field
• \(\ell\)-classes infinitésimales d'un corps de nombres algébriques
• On \(\mathbb{Z}_ p\)-torsion of some Galois modules
• Galois Cohomology
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On explicit reciprocity laws. II.
• Logarthme p-adique et groupes de Galois.
• On K 2 and Z l Extensions of Number Fields
• A Note on K 2 and the Theory of ℤ p -Extensions
• $\Gamma $-extensions et invariants cyclotomiques
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item