A consequence of Greenberg's generalized conjecture on Iwasawa invariants of \(\mathbb{Z}_p\)-extensions

DOI10.1016/j.jnt.2016.08.008zbMath1356.11080arXiv1602.07916OpenAlexW2964072848WikidataQ123356104 ScholiaQ123356104MaRDI QIDQ344130

Takenori Kataoka

Publication date: 22 November 2016

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

Full work available at URL: https://arxiv.org/abs/1602.07916

zbMATH Keywords

Iwasawa invariantsGreenberg's generalized conjecturepseudo-nullity

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items

\(T\)-ranks of Iwasawa modules ⋮ On local and global bounds for Iwasawa \(\lambda\)-invariants ⋮ On the reduction of an Iwasawa module ⋮ Unnamed Item ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension ⋮ On an upper bound of \(\lambda\)-invariants of \(\mathbb{Z}_p\)-extensions over an imaginary quadratic field ⋮ A weak form of Greenberg's generalized conjecture for imaginary quadratic fields

Cites Work

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• ON THE ℤ_p-RANKS OF TAMELY RAMIFIED IWASAWA MODULES
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On the units of algebraic number fields
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