On the classnumber of some group rings
type: Item
instance of: scholarly article
title: On the classnumber of some group rings
zbMATH Open document ID: 0595.16005
DOI: 10.1007/BF01271659
author: E. Kleinert
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: The result of this paper is a formula which expresses the order of the locally free class group of \({\mathbb{Z}}D_{mq}\), where \(D_{mq}=C_ m\rtimes C_ q\) is a generalized dihedral group, in terms of class numbers and unit indices of number fields. The main technical ingredient is the Mayer-Vietoris sequence of Reiner and Ullom.
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 11R52
zbMATH DE Number: 3957343
zbMATH Keywords: locally free class group
zbMATH Keywords: generalized dihedral group
zbMATH Keywords: class numbers
zbMATH Keywords: Mayer-Vietoris sequence
MaRDI profile type: Publication
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cites work: Q4090489
cites work: Q4061092
cites work: A Mayer-Vietoris sequence for class groups
cites work: The Schur subgroup of the Brauer group
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description: scientific article; zbMATH DE number 3957343