On the \(\lambda\) invariants of \(\mathbb Z_p\)-extensions of real quadratic fields

DOI10.1016/0022-314X(86)90093-4zbMath0593.12003OpenAlexW1980062051MaRDI QIDQ1076071

Keiichi Komatsu, Takashi Fukuda

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90093-4

zbMATH Keywords

class numberreal quadratic fieldfundamental unitcyclotomic extensionvanishing of Iwasawa invariants

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (8)

A remark on the \(\lambda\)-invariant of real quadratic fields ⋮ On Greenberg's generalized conjecture for CM-fields ⋮ On \({\mathbb{Z}}_ p\)-extensions of real abelian fields ⋮ On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions ⋮ A note on the \(\mathbb Z_p\times\mathbb Z_q\)-extension over \(\mathbb Q\) ⋮ On \(p\)-adic \(L\)-functions and \(\mathbb{Z}_p\)-extensions of certain real abelian number fields ⋮ On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension

Cites Work

• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the Iwasawa Invariants of Totally Real Number Fields
• On the Class Number of a Relatively Cyclic Number Field
• On the units of algebraic number fields

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