Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five.
type: Item
instance of: scholarly article
title: Generic polynomials over \(\mathbb Q\) with two parameters for the transitive groups of degree five.
zbMATH Open document ID: 1047.12002
author: Ki-ichiro Hashimoto
author: Hiroshi Tsunogai
published in: Proceedings of the Japan Academy. Series A
publication date: 2004-08-06T00:00:00Z
review text: The authors give generic polynomials \(f(U,V,X)\in{\mathbb{Q}}(U,V)[X]\) for all transitive subgroups of the symmetric group \({\mathfrak{S}}_5\). Since such polynomials are already known, the main feature of the paper under review is to give a unifying approach to all of these groups.
reviewed by: Martin Epkenhans
Mathematics Subject Classification ID: 12F12
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 2084246
zbMATH Keywords: generic polynomials
zbMATH Keywords: Galois theory
MaRDI profile type: Publication
full work available at URL: pjaa.79.142
OpenAlex ID: W1977970853
cites work: The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
cites work: On Brumer's family of RM-curves of genus two
cites work: Q4787521
cites work: Constructions de polynômes génériques à groupe de Galois résoluble
DOI: 10.3792/PJAA.79.142
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description: scientific article; zbMATH DE number 2084246