The structure of higher-dimensional Iwasawa modules under a far-fetched assumption

DOI10.1007/s00013-019-01363-0zbMath1467.11102OpenAlexW2961509565WikidataQ114693085 ScholiaQ114693085MaRDI QIDQ2007841

Cornelius Greither, Sören Kleine

Publication date: 22 November 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01363-0

zbMATH Keywords

Leopoldt's conjecturepseudo-null moduleunbounded lambda invariants

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Cites Work

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• Some invariants of \(\mathbb{Z}_p^d\)
• Class numbers in \(\mathbb{Z}_p^d\)-extensions
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders
• ON SOME QUESTIONS IN THE THEORY OF Γ-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS
• Minus class groups of the fields of the 𝑙-th roots of unity

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