Groups of small order as Galois groups over \({\mathbb{Q}}\)
type: Item
instance of: scholarly article
title: Groups of small order as Galois groups over \({\mathbb{Q}}\)
zbMATH Open document ID: 0705.11066
DOI: 10.1216/RMJ-1989-19-3-947
author: Jack Sonn
published in: Rocky Mountain Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The main result of this paper is that every group of order less than 672 is a Galois group over the field of rational numbers. The proof is based on cohomological methods and uses known results about the realization of various special groups of small order as Galois groups over number fields.
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 20F29
zbMATH DE Number: 4156576
zbMATH Keywords: finite groups
zbMATH Keywords: Galois group
zbMATH Keywords: field of rational numbers
reviewed by: Hans Opolka
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4156576