scientific article

zbMath0415.12002MaRDI QIDQ3050525

Albert A. Cuoco

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=CM_1980__41_3_415_0

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zbMATH Keywords

Zp-extensionsthe growth of Iwasawa invariants

Mathematics Subject Classification ID

Cyclotomic extensions (11R18)

Related Items (10)

Unnamed Item ⋮ Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ On geometric \({\mathbb{Z}}_ p\)-extensions of function fields ⋮ Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions ⋮ Some invariants of \(\mathbb{Z}_p^d\) ⋮ Class numbers in \(\mathbb{Z}_p^d\)-extensions ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields ⋮ Relations between invariants in Z//\(p^ 2-\)extensions ⋮ Unnamed Item ⋮ Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers

Cites Work

• Unnamed Item
• Unnamed Item
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• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the structure of certain Galois groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On Γ-extensions of algebraic number fields
• On Iwasawa's λ-invariant for certain $Z_l$-extensions

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