On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications

DOI10.1007/s40993-023-00461-xzbMath1524.11202OpenAlexW4383559195MaRDI QIDQ6132978

Abdelkader Zekhnini, B. Aaboun

Publication date: 21 July 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-023-00461-x

zbMATH Keywords

quadratic fields2-class groupcapitulation problemmetabelian 2-groupmetacyclic 2-group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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