A note on the \(\mathbb Z_p\times\mathbb Z_q\)-extension over \(\mathbb Q\)

DOI10.3792/PJAA.77.84zbMath1005.11060OpenAlexW1980686032MaRDI QIDQ5950735

Kuniaki Horie

Publication date: 13 December 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.84

zbMATH Keywords

Iwasawa theoryHilbert class field

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23) Other abelian and metabelian extensions (11R20)

Related Items (1)

Tate-Shafarevich groups in the cyclotomic \(\hat{\mathbb{Z}} \)-extension and Weber's class number problem

Cites Work

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• A note on class numbers of algebraic number fields
• On the \(\lambda\) invariants of \(\mathbb Z_p\)-extensions of real quadratic fields
• On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields
• On Γ-extensions of algebraic number fields
• On the units of algebraic number fields
• On the Absolute Class-Group of Abelian Fields

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