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)

DOI10.1142/S1793042121500160zbMath1468.11224MaRDI QIDQ4992589

Naoki Kumakawa

Publication date: 9 June 2021

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

zbMATH Keywords

Iwasawa theoryGreenberg's conjectureclass field theorySinnott's index formula

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Iwasawa theory (11R23)

Related Items

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

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Iwasawa invariants of the cyclotomic \(\mathbb Z_2\)-extensions of certain real quadratic fields
• A note on Thaine's circular units
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• 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 THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• On Γ-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields
• The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields
• On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields