The Brauer group of character rings
type: Item
instance of: scholarly article
title: The Brauer group of character rings
zbMATH Open document ID: 1263.19001
author: Tim Fritzsche
published in: Journal of Algebra
publication date: 2013-01-15T00:00:00Z
review text: Examples, as obtained in this paper, are: the Brauer group of the character ring of a symmetric group is trivial; the Brauer group of the character of an abelian group is trivial, too. Certainly there are nontrivial Brauer groups, as the author presents at the end of the paper.
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 16K50
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 6125718
zbMATH Keywords: Brauer group
zbMATH Keywords: character ring
zbMATH Keywords: Azumaya algebras
zbMATH Keywords: Grothendieck ring
zbMATH Keywords: Burnside rings
reviewed by: Robert W. van der Waall
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.03.037
OpenAlex ID: W2008789564
cites work: The Brauer Group of a Commutative Ring
cites work: Q5812243
cites work: Q3247159
cites work: Q3922829
cites work: A Mayer-Vietoris sequence for the Brauer group
cites work: Théorie de la descente et algèbres d'Azumaya
cites work: Rationality and Sylow 2-subgroups
cites work: Q4055755
cites work: Q3275865
cites work: The Brauer group of Burnside rings
DOI: 10.1016/J.JALGEBRA.2012.03.037
description: scientific article; zbMATH DE number 6125718