The multiplicative structure of division rings over number fields and the Hasse norm principle
type: Item
instance of: scholarly article
title: The multiplicative structure of division rings over number fields and the Hasse norm principle
zbMATH Open document ID: 0579.12010
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Translation from Tr. Mat. Inst. Steklova 165, 171-187 (Russian) (1984; Zbl 0559.12010).
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 20G30
Mathematics Subject Classification ID: 11R37
Mathematics Subject Classification ID: 11S45
Mathematics Subject Classification ID: 14G05
zbMATH DE Number: 3927043
zbMATH Keywords: multiplicative structure
zbMATH Keywords: skew fields over number fields
zbMATH Keywords: Hasse
zbMATH Keywords: norm principle
zbMATH Keywords: algebraic group
zbMATH Keywords: group of rational points
zbMATH Keywords: quadratic forms
zbMATH Keywords: Skolem-Noether theorem
zbMATH Keywords: algebra of quaternions
zbMATH Keywords: class field theory
zbMATH Keywords: direct subgroup
zbMATH Keywords: Spin(f)
zbMATH Keywords: SL(1,D)
zbMATH Keywords: trace
author: V. P. Platonov
author: Andrei Rapinchuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3927043