On Small Iwasawa Invariants and Imaginary Quadratic Fields

DOI10.2307/2048688zbMath0735.11056OpenAlexW4250287737MaRDI QIDQ3981080

Jonathan W. Sands

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2048688

zbMATH Keywords

Iwasawa invariantsclass numbers

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (11)

On local and global bounds for Iwasawa \(\lambda\)-invariants ⋮ On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields ⋮ On CM elliptic curves and the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields ⋮ On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field ⋮ Local behavior of Iwasawa’s invariants ⋮ Generalised Iwasawa invariants and the growth of class numbers ⋮ Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations ⋮ On an upper bound of \(\lambda\)-invariants of \(\mathbb{Z}_p\)-extensions over an imaginary quadratic field ⋮ On pseudo-null Iwasawa modules ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields ⋮ Iwasawa invariants of imaginary quadratic fields

Cites Work

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• A note on class numbers of algebraic number fields
• Class numbers in \(\mathbb{Z}_p^d\)-extensions
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• The Iwasawa invariant \(\mu\) in the composite of two \(\mathbb Z_ \ell\)-extensions
• The nontriviality of certain Z\(_l\)-extensions
• Computation of Iwasawa lambda invariants for imaginary quadratic fields
• On Γ-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields
• On the Class Number of a Relatively Cyclic Number Field
• Iwasawa invariants

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