Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions

DOI10.5486/PMD.2022.8951zbMath1499.11335OpenAlexW4210475552MaRDI QIDQ5036001

Mohammed Rezzougui, Abdelkader Zekhnini, Abdelmalek Azizi

Publication date: 22 February 2022

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2022.8951

zbMATH Keywords

real quadratic fieldIwasawa theorycapitulation2-class group2-class field tower\(\mathbb{Z}_2\)-extensionmetacyclic 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)

This page was built for publication: Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions