Cyclotomic Z//2-extensions of J-fields

DOI10.1016/0022-314X(82)90069-5zbMath0493.12015OpenAlexW2026734923MaRDI QIDQ1168362

Yûji Kida

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-314x(82)90069-5

zbMATH Keywords

Iwasawa invariantscyclotomic extensionsCM-fieldtotally real number field2-extension of J-field

Mathematics Subject Classification ID

Class field theory (11R37) Cyclotomic extensions (11R18) Totally real fields (11R80)

Related Items (20)

On the $2$-class group of some number fields of $2$-power degree ⋮ On the rank of the 2-class group of some imaginary biquadratic number fields ⋮ On the maximal unramified pro-2-extension over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field ⋮ The structure of the unramified abelian Iwasawa module of some number fields ⋮ Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions ⋮ Iwasawa invariants ⋮ On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree ⋮ Iwasawa invariants ⋮ ON THE 2-ADIC IWASAWA LAMBDA INVARIANTS OF THE p-CYCLOTOMIC FIELDS AND THEIR QUADRATIC TWISTS ⋮ An alternative approach to Kida and Ferrero's computations of Iwasawa \(\lambda\)-invariants ⋮ Unit groups and Iwasawa lambda invariants of some multiquadratic number fields ⋮ On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$ ⋮ On Iwasawa \(\lambda^{-}\)-invariants of imaginary abelian fields ⋮ A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications ⋮ ON THE ℤ_p-RANKS OF TAMELY RAMIFIED IWASAWA MODULES ⋮ Class group rank relations in \(Z_p\)-extensions ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension ⋮ A note on Iwasawa invariants and the main conjecture ⋮ On the structure of the 2-Iwasawa module of some number fields of degree 16

Cites Work

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• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Class numbers and \(\mathbb Z_p\)-extensions
• Iwasawa invariants of abelian number fields
• On 2-adic L-functions and cyclotomic invariants
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The nontriviality of certain Z\(_l\)-extensions
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• On the Iwasawa Invariants of Totally Real Number Fields

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