On the $2$-groups whose abelianizations are of type $(2, 4)$ and applications

DOI10.5486/PMD.2016.7264zbMath1389.11133OpenAlexW4237826609MaRDI QIDQ4591113

Mohammed Taous, Abdelmalek Azizi, Abdelkader Zekhnini

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.5486/pmd.2016.7264

zbMATH Keywords

capitulationHilbert class field2-groupmetabelian 2-groupmetacyclic 2-group

Mathematics Subject Classification ID

Galois theory (11R32) Generators, relations, and presentations of groups (20F05) Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

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On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications ⋮ Group Theory and the Capitulation Problem for Some Number Fields ⋮ Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group ⋮ Unnamed Item

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