Brauer groups are not characterized by Ulm invariants
type: Item
instance of: scholarly article
title: Brauer groups are not characterized by Ulm invariants
zbMATH Open document ID: 0611.13003
DOI: 10.1007/BF02765033
author: Burton Fein
author: Murray M. Schacher
author: Alfred W. Hales
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The authors show that Ulm's invariants do not determine Brauer groups or character groups of uncountable fields. They use ultraproducts of torsion groups as a tool. They give a few examples which nicely illustrate the results.
Mathematics Subject Classification ID: 14F22
Mathematics Subject Classification ID: 12E99
zbMATH DE Number: 3987411
zbMATH Keywords: Ulm invariants
zbMATH Keywords: Brauer groups
zbMATH Keywords: uncountable fields
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
cites work: The structure of ultraproducts of Abelian groups
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cites work: Q3903092
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cites work: Generic Galois extensions and problems in field theory
full work available at URL: https://doi.org/10.1007/bf02765033
OpenAlex ID: W1987903474
description: scientific article; zbMATH DE number 3987411