Generalised Iwasawa invariants and the growth of class numbers

DOI10.1515/forum-2019-0119zbMath1475.11198OpenAlexW3084283667MaRDI QIDQ1998918

Sören Kleine

Publication date: 9 March 2021

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2019-0119

zbMATH Keywords

growth of class numbersboundedness of \(\lambda \)-invariantsgeneralised Iwasawa invariantsGreenberg's generalised conjecturepseudo-null Iwasawa modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Iwasawa theory (11R23)

Related Items (4)

On \(\mathbb{Z}_{\ell}^d\)-towers of graphs ⋮ Fine Selmer groups and ideal class groups ⋮ Boundedness of Iwasawa invariants of fine Selmer groups and Selmer groups ⋮ Bounding the Iwasawa invariants of Selmer groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some invariants of \(\mathbb{Z}_p^d\)
• Class numbers in \(\mathbb{Z}_p^d\)-extensions
• On p-adic power series
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers
• Local behaviour of generalised Iwasawa invariants
• Local behavior of Iwasawa’s invariants
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• ON THE BOUNDEDNESS OF THE IWASAWA INVARIANT μ
• On Small Iwasawa Invariants and Imaginary Quadratic Fields
• ON SOME QUESTIONS IN THE THEORY OF Γ-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS

This page was built for publication: Generalised Iwasawa invariants and the growth of class numbers