Cyclotomic splitting fields and strict cohomological dimension
type: Item
instance of: scholarly article
title: Cyclotomic splitting fields and strict cohomological dimension
zbMATH Open document ID: 0541.12006
DOI: 10.1007/BF02786517
author: Hans Opolka
published in: Israel Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The purpose of this note is to characterize fields of strict cohomological dimension two in terms of Brauer groups, especially in terms of cyclotomic splitting fields of central simple algebras.
Mathematics Subject Classification ID: 11R34
Mathematics Subject Classification ID: 16Exx
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 12G05
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 3859253
zbMATH Keywords: fields of strict cohomological dimension two
zbMATH Keywords: Brauer groups
zbMATH Keywords: cyclotomic splitting fields
zbMATH Keywords: central simple algebras
MaRDI profile type: Publication
cites work: Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
cites work: Q3208765
cites work: Zum Einbettungsproblem.
cites work: Profinite Groups, Arithmetic, and Geometry. (AM-67)
description: scientific article; zbMATH DE number 3859253