Iwasawa theory for extensions with restricted \(p\)-ramification

DOI10.3836/tjm/1244208688zbMath1048.11084OpenAlexW2057081547MaRDI QIDQ1429190

Yoshitaka Hachimori

Publication date: 18 May 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208688

zbMATH Keywords

restricted ramification

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (5)

On multiple \(\mathbb Z_p\)-extensions of imaginary abelian quartic fields ⋮ On Greenberg’s generalized conjecture for complex cubic fields ⋮ On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension ⋮ On the Iwasawa invariants of certain non-cyclotomic \(\mathbb Z_2\)-extensions

Uses Software

• KANT/KASH
• PARI/GP

Cites Work

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• Indépendance linéaire sur \=Q de logarithmes p-adiques de nombres algébriques et rang p-adique du groupe des unités d'un corps de nombres
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• KANT V4
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Algebraic number fields and symplectic discontinuous groups
• On the units of algebraic number fields
• Examples of Iwasawa invariants
• On the units of an algebraic number field
• On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification

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