The Iwasawa invariant \(\mu\) in the composite of two \(\mathbb Z_ \ell\)-extensions

DOI10.1016/0022-314X(81)90009-3zbMath0463.12003MaRDI QIDQ1153399

Frank III Gerth, John R. Bloom

Publication date: 1981

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

zbMATH Keywords

Galois extensionsIwasawa theoryIwasawa mu invariant

Mathematics Subject Classification ID

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

Related Items (max. 100)

On local and global bounds for Iwasawa \(\lambda\)-invariants ⋮ On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field ⋮ The vanishing of Iwasawa's \(\mu\)-invariant implies the weak Leopoldt conjecture ⋮ 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
• 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
• ON SOME QUESTIONS IN THE THEORY OF Γ-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS
• Unnamed Item

This page was built for publication: The Iwasawa invariant \(\mu\) in the composite of two \(\mathbb Z_ \ell\)-extensions