A remark on the capitulation problem

DOI10.1007/s10998-016-0144-1zbMath1389.11138OpenAlexW2418445379MaRDI QIDQ1677559

Ali Mouhib

Publication date: 10 November 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0144-1

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)

Related Items

The 2-rank of the real pure quartic number field \(K= \mathbb{Q}(\sqrt[4{pd^{2}})\)]

Cites Work

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• Cyclicity of the unramified Iwasawa module
• A note on capitulation problem for number fields. I, II
• On the Iwasawa \(\lambda_2\)-invariants of certain families of real quadratic fields
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields