On the Hilbert 2-class field towers of the layers of some cyclotomic \(\mathbb{Z}_2\)-extensions
type: Item
instance of: scholarly article
title: On the Hilbert 2-class field towers of the layers of some cyclotomic \(\mathbb{Z}_2\)-extensions
DOI: 10.1007/978-3-031-51959-8_2
author: Abdelmalek Azizi
author: Mohamed Mahmoud Chems-Eddin
author: Abdelkader Zekhnini
publication date: 2024-09-25T00:00:00Z
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R37
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 7918571
MaRDI profile type: Publication
cites work: Sur la capitulation des 2-classes d'idéaux de
cites work: Units of certain imaginary abelian number fields over \(\mathbb Q\).
cites work: Capitulation des 2-classes d'idéaux de k=Q (\sqrt 2p, i)
cites work: On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\)
cites work: On the 2-class field tower of some imaginary biquadratic number fields
cites work: On the unit group of some multiquadratic number fields
cites work: Real quadratic fields with abelian 2-class field tower
cites work: Q3241238
cites work: The Rank of the 2-Class Group of Some Fields with Large Degree
cites work: On the $2$-class group of some number fields with large degree
cites work: 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications
cites work: Q3994474
cites work: The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
cites work: Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
cites work: Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
cites work: Q4700569
cites work: Q5811275
cites work: Über einen Dirichletschen Satz.
cites work: On the theory of the relative quadratic number field.
cites work: On Γ-extensions of algebraic number fields
cites work: The genus fields of algebraic number fields
cites work: Sur le 2-groupe des classes d'idéaux des corps quadratiques.
cites work: Cyclotomic Z//2-extensions of J-fields
cites work: Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
cites work: Über die Klassenzahlen algebraischer Zahlkörper
cites work: Imaginary bicyclic biquadratic fields with cyclic 2-class group
cites work: Abelian 2-class field towers over the cyclotomic \({\mathbb {Z}_2}\)-extensions of imaginary quadratic fields
cites work: Capitulation in the cyclotomic ℤ2 extension of CM number fields
cites work: Q5541475
cites work: Q5690489
description: scientific article; zbMATH DE number 7918571