On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field

DOI10.2969/jmsj/06510277zbMath1275.11141OpenAlexW378659848MaRDI QIDQ1946857

Satoshi Fujii

Publication date: 9 April 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1359036455

zbMATH Keywords

Iwasawa invariantsimaginary quadratic fields\(\mathbb{Z}_p\)-extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (6)

On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units ⋮ Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions ⋮ Galois coinvariants of the unramified Iwasawa modules of multiple \(\mathbb{Z}_p\)-extensions ⋮ ON THE ANTICYCLOTOMIC ℤ_p-EXTENSION OF AN IMAGINARY QUADRATIC FIELD ⋮ On an upper bound of \(\lambda\)-invariants of \(\mathbb{Z}_p\)-extensions over an imaginary quadratic field ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields

Cites Work

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• The Iwasawa invariant \(\mu\) in the composite of two \(\mathbb Z_ \ell\)-extensions
• On the invariants of some \(\mathbb{Z}_\ell\)-extensions
• Abelian p-class field towers over the cyclotomic Z_p-extensions of imaginary quadratic fields
• On Small Iwasawa Invariants and Imaginary Quadratic Fields
• On the units of algebraic number fields

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