Cohomology of units and \(\mathbb{Z}_2\)-torsion of the cyclotomic \(\mathbb{Z}_2\)-extension of some CM fields

MaRDI QIDQ6554982

Ali Mouhib

Publication date: 13 June 2024

Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)

zbMATH Keywords

class groupunit groupcapitulation problem\(\mathbb{Z}_2\)-extension

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Cites Work

• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cyclotomic Z//2-extensions of J-fields
• On Iwasawa \(\lambda_p\)-invariants of relative real cyclic extensions of degree \(p\)
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• An alternative approach to Kida and Ferrero's computations of Iwasawa \(\lambda\)-invariants
• Iwasawa λ₃-invariants of certain cubic fields
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• On the Iwasawa Invariants of Totally Real Number Fields
• Finite \Lambda -submodules of Iwasawa modules for a CM-field for p=2
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