On the Iwasawa invariants of the cyclotomic \(\mathbb Z_2\)-extensions of certain real quadratic fields

DOI10.3836/tjm/1166661877zbMath1170.11039OpenAlexW1996102825MaRDI QIDQ854388

Yoshinori Nishino

Publication date: 12 December 2006

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

Full work available at URL: https://doi.org/10.3836/tjm/1166661877

zbMATH Keywords

Iwasawa theoryclass numbersquadratic extensionsAbelian extensions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Related Items (8)

Greenberg’s conjecture for real quadratic fields and the cyclotomic ℤ₂-extensions ⋮ On metabelian 2-class field towers over -extensions of real quadratic fields ⋮ The structure of the unramified abelian Iwasawa module of some number fields ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions ⋮ On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields ⋮ On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(pq) and the 2-part of the class number of ℚ(pq,2 + 2)

Cites Work

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• A note on class numbers of algebraic number fields
• On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
• On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb Z_2\)-extension of a real quadratic field
• On Γ-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields

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