On the cohomological dimension of pro-\(p\)-extensions of number fields

DOI10.5802/jtnb.509zbMath1176.11057OpenAlexW2133330342MaRDI QIDQ819864

Christian Maire

Publication date: 30 March 2006

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

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_2_575_0

zbMATH Keywords

Spiegelungssatz\(\mathbb Z_p\)-extensionsconditions of Leopoldt typeGras logarithm

Mathematics Subject Classification ID

Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items

On Galois representations with large image ⋮ Unnamed Item ⋮ 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 ⋮ PLONGEMENTS LOCAUX ET EXTENSIONS DE CORPS DE NOMBRES ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem ⋮ Algorithmic complexity of Greenberg's conjecture ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On regular number fields
• Some cases of the Fontaine-Mazur conjecture
• Some cases of the Fontaine-Mazur conjecture. II
• \(p\)-rational fields, \(p\)-regular fields and restricted ramification
• Galois Cohomology
• Pro-\(\ell\)-extensions of \(\mathfrak l\)-rational number fields
• On the \(\mu\)-invariant of \(p\)-adic \(L\)-functions attached to elliptic curves with complex multiplication
• Sur les p -extensions des corps p -rationnels
• Fonctions L p-adiques des corps quadratiques imaginaires et de leurs extensions abéliennes.
• Circular sets of prime numbers and p-extensions of the rationals
• Mild pro-p-groups and Galois groups of p-extensions of ℚ
• Galois groups of number fields generated by torsion points of elliptic curves
• Groupe de Galois de la p-extension abélienne p-ramifiée maximale d'un corps de nombres.
• Sur les invariants d'Iwasawa des tours cyclotomiques
• Bounded Defect in Partial Euler Characteristics
• Number theory. Transl. from the 3rd German edition, edited and with a preface by Horst Günter Zimmer.
• On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification