On the Hilbert 2-class fields of some real quadratic number fields and applications

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

Cites Work

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Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group
Real quadratic fields with abelian 2-class field tower
Imaginary quadratic fields $k$ with cyclic $\text{Cl}_2(k^1)$
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Über die Lösbarkeit der Gleichung $t^2-Du^2=-4$
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Die Anzahl der durch $4$ teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers.
Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
Über Den Bizyklischen Biquadratischen Zahlkörper
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Sur la capitulation des 2-classes d'idéaux de
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Redei reciprocity, governing fields and negative Pell
Real quadratic number fields with metacyclic Hilbert $2$-class field tower
On the Hilbert 2-class field of some quadratic number fields
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On the metacyclic 2-groups whose abelianizations are of type $(2, 2^n)$, $n\geq 2$ and applications
Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields

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