Cyclicity of the 2-decomposed unramified Iwasawa module

DOI10.1016/j.jnt.2024.04.015MaRDI QIDQ6585663

Ali Mouhib, Karim Boulajhaf

Publication date: 12 August 2024

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

zbMATH Keywords

Iwasawa theoryreal quadratic fields2-rank2-class group

Mathematics Subject Classification ID

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

Cites Work

• Cyclicity of the unramified Iwasawa module
• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• Neue Begründung und Verallgemeinerung der Theorie des Normenrestsymbols.
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Iwasawa \(\lambda_3\)-invariants of certain cubic fields
• On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\)
• Tame pro-2 Galois groups and the basic ℤ₂-extension
• On the Iwasawa Invariants of Totally Real Number Fields
• On unramified Galois $2$-groups over $\mathbb Z_2$-extensions of real quadratic fields

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