On the invariants of some \(\mathbb{Z}_\ell\)-extensions

DOI10.1016/0022-314X(79)90042-8zbMath0411.12004MaRDI QIDQ1259625

John R. Bloom

Publication date: 1979

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

cyclotomic fieldimaginary quadratic fieldIwasawa invariantZl-extensions

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (3)

Algebraic number fields ⋮ On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field ⋮ Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions

Cites Work

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• On the theory of cyclotomic fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On Iwasawa's λ-invariant for certain $Z_l$-extensions
• Irregular Primes and Cyclotomic Invariants
• On the Iwasawa Invariants of Totally Real Number Fields

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