Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group
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Publication:730066
DOI10.1016/J.JNT.2016.09.030zbMath1377.11114OpenAlexW2554007565MaRDI QIDQ730066
Publication date: 23 December 2016
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.030
class groupdiscriminantHilbert 2-class fieldreal quadratic number fieldcommutator subgroupunramified quadratic extension
Related Items (3)
Corrigendum to: ``Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group. ⋮ On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications ⋮ On the Hilbert 2-class field of some quadratic number fields
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- On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\)
- Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
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- Kuroda's class number formula
- On the $2$-groups whose abelianizations are of type $(2, 4)$ and applications
- Real Quadratic Number Fields with 2-Class Group of Type (2,2).
- Endliche Gruppen I
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