The torsion of \(p\)-ramified Iwasawa modules for \(\mathbb Z^2_p\)-extensions

DOI10.1016/j.jnt.2009.01.016zbMath1192.11075OpenAlexW1972439100MaRDI QIDQ1025900

Satoshi Fujii

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.016

zbMATH Keywords

Greenberg's conjectureIwasawa modules\({\mathbb Z}_ p^ 2\)--extensionsnot totally real number fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Iwasawa theory (11R23)

Related Items (2)

The torsion of $p$-ramified Iwasawa modules II ⋮ On Greenberg's generalized conjecture

Cites Work

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• A note on class numbers of algebraic number fields
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• On the structure of certain Galois groups
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• Greenberg conjectures and free pro-\(p\)-extensions of a number field
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On Γ-extensions of algebraic number fields
• Elliptic Curves with no Rational Points
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• On the Iwasawa Invariants of Totally Real Number Fields
• The torsion of $p$-ramified Iwasawa modules II
• On the units of algebraic number fields

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