Iwasawa invariants

DOI10.1007/BF01455793zbMath0533.12007OpenAlexW4232129704MaRDI QIDQ5896240

Eduardo C. Friedman

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163950

zbMATH Keywords

Iwasawa theorycyclotomic extensioncriterion for vanishing of lambda p minus invariant of CM fieldexplicit bounds for my-invariant of Zp-extensionmultiple \({\mathbb{Z}}_ p\)-extension

Mathematics Subject Classification ID

Density theorems (11R45) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Ramification and extension theory (11S15)

Related Items (4)

Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants ⋮ On indivisibility of relative class numbers of totally imaginary quadratic extensions and these relative Iwasawa invariants ⋮ On Small Iwasawa Invariants and Imaginary Quadratic Fields ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields

Cites Work

• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• Regulators and Iwasawa modules
• Cyclotomic Z//2-extensions of J-fields
• Class numbers and \(\mathbb Z_p\)-extensions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On the Iwasawa Invariants of Totally Real Number Fields
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