A note on Greenberg's conjecture for real abelian number fields

DOI10.1007/BF02567825zbMath0855.11056WikidataQ122957986 ScholiaQ122957986MaRDI QIDQ1911548

Manabu Ozaki, Hisao Taya

Publication date: 27 November 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156130

zbMATH Keywords

class groupsGreenberg's conjectureIwasawa invariantreal abelian number fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (10)

Greenberg's conjecture and relative unit groups for real quadratic fields ⋮ On the Iwasawa invariants of certain real abelian fields ⋮ A note on the Iwasawa \(\lambda\)-invariants of real quadratic fields ⋮ On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields ⋮ Local units modulo Gauss sums ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ On mirror equalities and certain weak forms of Greenberg's conjecture ⋮ On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields ⋮ Ideal norms in the cyclotomic tower and Greenberg's conjecture ⋮ On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields

Cites Work

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• A note on class numbers of algebraic number fields
• Class fields of abelian extensions of \(\mathbb Q\)
• Class groups of abelian fields, and the main conjecture
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• Greenberg's conjecture and the Iwasawa polynomial
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the structure of certain Galois groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa conjecture for totally real fields
• On Iwasawa's λ-invariant for certain $Z_l$-extensions
• On the Iwasawa Invariants of Totally Real Number Fields
• The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields
• On cyclotomic ℤ ₚ-extensions of real quadratic fields

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