On capitulation of \(S\)-ideals in \(\mathbb{Z}_p\)

DOI10.1006/JNTH.2000.2561zbMath0997.11090OpenAlexW1987925901MaRDI QIDQ5929401

Hiroki Sumida-Takahashi

Publication date: 19 June 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2561

zbMATH Keywords

capitulationIwasawa towers

Mathematics Subject Classification ID

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

Related Items (4)

Genus formulas and Greenberg's conjecture ⋮ On the Iwasawa lambda invariant of an imaginary abelian field of conductor \(3p^{n+1}\) ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ On a quotient of the unramified Iwasawa module over an abelian number field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Iwasawa \(\lambda\)-invariants of real quadratic fields
• A note on class numbers of algebraic number fields
• Class fields of abelian extensions of \(\mathbb Q\)
• On \({\mathbb{Z}}_ p\)-extensions of real quadratic fields
• Greenberg's conjecture and the Iwasawa polynomial
• On the Iwasawa invariants of certain real abelian fields
• Greenberg conjectures and free pro-\(p\)-extensions of a number field
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• On Cohomology Groups of Units for Z p -Extensions
• On the Iwasawa Invariants of Totally Real Number Fields
• The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields
• Lectures on P-Adic L-Functions. (AM-74)

This page was built for publication: On capitulation of \(S\)-ideals in \(\mathbb{Z}_p\)