Invariant fields of finite irreducible reflection groups
type: Item
instance of: scholarly article
title: Invariant fields of finite irreducible reflection groups
zbMATH Open document ID: 0947.12003
author: Gregor Kemper
author: Gunter Malle
published in: Mathematische Annalen
publication date: 2000-06-29T00:00:00Z
review text: The main result of this paper is a proof that if \(G\) is a finite irreducible reflection group over a field \(k\), then the invariant field of \(G\) is purely transcendental over \(k\), even when \(|G|\) is divisible by the characteristic of \(k\). An essential ingredient of the proof is the use of a package for the invariant theory of finite groups in the computer algebra system Magma.
Mathematics Subject Classification ID: 12F99
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 1395778
zbMATH Keywords: purely transcendental invariant field
zbMATH Keywords: Magma
reviewed by: Phillip Schultz
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: s002080050329
OpenAlex ID: W1968915280
DOI: 10.1007/S002080050329
description: scientific article; zbMATH DE number 1395778