The determination of subgroups in ideal class groups of real quadratic fields
type: Item
instance of: scholarly article
title: The determination of subgroups in ideal class groups of real quadratic fields
zbMATH Open document ID: 0762.11037
published in: Chinese Science Bulletin
publication date: 1993-02-18T00:00:00Z
review text: The author looks at when certain real quadratic fields have class groups with cyclic subgroups of a certain order. A typical result is: Theorem 8. Let \(m=((z^ n_ 1+t)/4-1)^ 2+t\) with \(t| z^ 4_ 1-4\), \(m\neq 37\), then the class group of \(\mathbb{Q}(\sqrt m)\) contains a cyclic subgroup of order \(n\).
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11D09
zbMATH DE Number: 123646
zbMATH Keywords: quadratic diophantine equation
zbMATH Keywords: real quadratic fields
zbMATH Keywords: class groups with cyclic subgroups
author: Xianke Zhang
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 123646