On the 2-class group of real multiquadratic fields
type: Item
instance of: scholarly article
title: On the 2-class group of real multiquadratic fields
zbMATH Open document ID: 1090.11069
author: A. Mouhib
author: A. Movahhedi
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2006-03-30T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/52431
review text: This article deals with the \(2\)-class group of multiquadratic number fields. The authors determine all families of such fields with cyclic \(2\)-class groups. Since they show that the \(2\)-rank of the class group is \(\geq 2\) as soon as at least four primes ramify, it is sufficient to study the fields \(\mathbb Q(\sqrt{p_1}, \sqrt{p_2}\,)\) and \(\mathbb Q(\sqrt{p_1}, \sqrt{p_2}, \sqrt{p_3}\,)\) for primes \(p_j \not\equiv 3 \bmod 4\).
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 11R20
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 5016578
zbMATH Keywords: real quadratic fields
zbMATH Keywords: 2-class group
zbMATH Keywords: multiquadratic fields
MaRDI profile type: Publication
OpenAlex ID: W2063684266
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DOI: 10.5802/JTNB.511
description: scientific article; zbMATH DE number 5016578