On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions

DOI10.1007/s10998-020-00362-xzbMath1488.11169OpenAlexW3106598950MaRDI QIDQ2043729

Abdelmalek Azizi, Mohammed Rezzougui, Abdelkader Zekhnini

Publication date: 3 August 2021

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

Full work available at URL: https://doi.org/10.1007/s10998-020-00362-x

zbMATH Keywords

real quadratic fieldIwasawa theory2-class group2-class field tower\(\mathbb{Z}_2\)-extensionetacyclic and non-metacyclic 2-group

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Finite nilpotent groups, (p)-groups (20D15) Other abelian and metabelian extensions (11R20)

Related Items (2)

On metabelian 2-class field towers over -extensions of real quadratic fields ⋮ On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications

Cites Work

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