On Greenberg’s generalized conjecture for complex cubic fields

DOI10.1142/S1793042117500312zbMath1385.11068WikidataQ122875427 ScholiaQ122875427MaRDI QIDQ2969716

Takenori Kataoka

Publication date: 23 March 2017

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

zbMATH Keywords

Iwasawa theoryGreenberg's conjecturecubic fieldspseudo-nullity

Mathematics Subject Classification ID

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

Related Items

On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions, On Greenberg’s generalized conjecture for imaginary quartic fields

Cites Work

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• On multiple \(\mathbb Z_p\)-extensions of imaginary abelian quartic fields
• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• Iwasawa theory for extensions with restricted \(p\)-ramification
• On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields
• On Greenberg's generalized conjecture for CM-fields
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification