Cyclicity of the unramified Iwasawa module
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Publication:533678
DOI10.1007/s00229-010-0407-8zbMath1234.11150OpenAlexW1992480122MaRDI QIDQ533678
Publication date: 4 May 2011
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-010-0407-8
Related Items
On the rank of the 2-class group of some imaginary biquadratic number fields ⋮ A remark on the capitulation problem ⋮ The structure of the unramified abelian Iwasawa module of some number fields ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ On the $2$-class group of some number fields with large degree ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension
Cites Work
- Iwasawa descent and co-descent for units modulo circular units. With an appendix by J.-R. Belliard.
- On the \(p\)-class tower of a \(\mathbb Z_p\)-extension
- The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
- Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
- Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
- On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- On the parity of the class number of a biquadratic field
- Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
- Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
- The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
- On the Iwasawa Invariants of Totally Real Number Fields
