On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb Z_2\)-extension of a real quadratic field

DOI10.3836/tjm/1244208291zbMath1080.11080OpenAlexW2056925443MaRDI QIDQ2566553

Takashi Fukuda, Keiichi Komatsu

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208291

zbMATH Keywords

Iwasawa invariantsIwasawa theorycyclotomic \({\mathbb Z}_ p\)--extensions

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (9)

On the Iwasawa invariants of the cyclotomic \(\mathbb Z_2\)-extensions of certain real quadratic fields ⋮ 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 ⋮ 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 $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$ ⋮ 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

• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
• On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)
• Unnamed Item

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