On \(2\)-class field towers of some real quadratic number fields with \(2\)-class groups of rank \(3\)
type: Item
instance of: scholarly article
title: On \(2\)-class field towers of some real quadratic number fields with \(2\)-class groups of rank \(3\)
zbMATH Open document ID: 1302.11090
published in: Illinois Journal of Mathematics
publication date: 2015-01-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1417442559
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 11R37
zbMATH DE Number: 6386414
zbMATH Keywords: Hilbert \(2\)-class field towers
zbMATH Keywords: quadratic number field
zbMATH Keywords: \(2\)-class groups
zbMATH Keywords: Galois extension
author: A. Mouhib
MaRDI profile type: Publication
cites work: On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\)
cites work: Real quadratic fields with abelian 2-class field tower
cites work: Quadratic fields with infinite Hilbert 2-class field towers
cites work: On 2-class field towers of some imaginary quadratic number fields
cites work: On the parity of the class number of multiquadratic number fields
cites work: On the lower bound of the rank of the 2-class group of certain multiquadratic fields
description: scientific article; zbMATH DE number 6386414