Zopfgruppen und Einbettungsprobleme. (Braid groups and embedding problems)
type: Item
instance of: scholarly article
title: Zopfgruppen und Einbettungsprobleme. (Braid groups and embedding problems)
zbMATH Open document ID: 0748.12002
DOI: 10.1007/BF02567668
author: B. Heinrich Matzat
published in: Manuscripta Mathematica
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/155693
review text: The paper completes the work on the realisation of almost simple groups as Galois groups over Hilbert fields in [J. Reine Angew. Math. 420, 99- 159 (1991)]. Some examples of the results of this paper are that the groups \(PSL_ 3(3)\) and \(PSL_ 3(4)\) have GAR-realisations over \(\mathbb{Q}\).
Mathematics Subject Classification ID: 12F12
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 12E25
zbMATH DE Number: 60082
zbMATH Keywords: embedding problems
zbMATH Keywords: braid groups
zbMATH Keywords: almost simple groups
zbMATH Keywords: Galois groups
zbMATH Keywords: Hilbert fields
zbMATH Keywords: GAR-realisations
reviewed by: J. Brinkhuis
MaRDI profile type: Publication
cites work: Generic splitting fields of central simple algebras
cites work: Q3684278
cites work: Projective symplectic groups \(\mathrm{PSp}_ 4(p)\) as Galois groups over \(\mathbb Q(t)\)
cites work: Q3999545
cites work: Exceptional groups of Lie type as Galois groups.
cites work: Zum Einbettungsproblem der algebraischen Zahlentheorie mit nicht abelschem Kern
cites work: Zöpfe und Galoissche Gruppen.
cites work: Q4012095
cites work: \(\mathrm{GL}_n (q)\) as Galois group over the rationals
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description: scientific article; zbMATH DE number 60082