On the pro-\(p\)-extensions with restricted ramification over the cyclotomic \(\mathbb Z_p\)-extension of a number field

DOI10.5802/jtnb.638zbMath1163.11071OpenAlexW1988725363MaRDI QIDQ1011966

Landry Salle

Publication date: 14 April 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10847

zbMATH Keywords

Galois cohomologyIwasawa theory\(p\)-adic class field theoryGalois theory of \(p\)-extensions

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Galois cohomology (11S25) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Ramification and extension theory (11S15)

Related Items

On metabelian 2-class field towers over -extensions of real quadratic fields ⋮ On tame pro-\(p\) Galois groups over basic \(\mathbb Z_p\)-extensions ⋮ On the Galois structure of some pro-\(p\)-extensions of number fields ⋮ On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ Iwasawa invariants and linking numbers of primes ⋮ On pro-𝑝 link groups of number fields ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension

Cites Work

• Local extensions associated with \(\ell\)-extensions of number fields with bounded ramification
• Global \(\ell\)-adique clean field theory
• Sur les invariants d'Iwasawa des tours cyclotomiques
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