Projective symplectic groups \(\mathrm{PSp}_ 4(p)\) as Galois groups over \(\mathbb Q(t)\)
type: Item
instance of: scholarly article
title: Projective symplectic groups \(\mathrm{PSp}_ 4(p)\) as Galois groups over \(\mathbb Q(t)\)
zbMATH Open document ID: 0654.12007
DOI: 10.1007/BF01195213
author: Ralf Dentzer
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: The four dimensional projective symplectic groups \(\mathrm{PSp}(4,p)\) for an odd prime \(p\equiv 2\) or \(3\bmod 5\) are realized as Galois groups of a regular Galois extension of the rational function field \(\mathbb Q(t)\).
Mathematics Subject Classification ID: 12F12
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 4067044
zbMATH Keywords: inverse problem of Galois theory
zbMATH Keywords: projective symplectic groups
zbMATH Keywords: Galois extension of the rational function field
MaRDI profile type: Publication
cites work: Endliche Gruppen I
cites work: The Characters of the Finite Symplectic Group Sp(4,q)
cites work: Q3684278
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description: scientific article; zbMATH DE number 4067044