Structure theorem for the rotation group over \(\mathbb{Q}\)
type: Item
instance of: scholarly article
title: Structure theorem for the rotation group over \(\mathbb{Q}\)
zbMATH Open document ID: 1018.20045
DOI: 10.1016/S0024-3795(02)00489-5
author: Guoyang Liu
author: Lewis C. Robertson
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: The authors prove that the 3-dimensional rotation group \(\text{SO}_3(\mathbb{Q})\) over the rational numbers is not a simple group, and the set of square matrices in \(\text{SO}_3(\mathbb{Q})\) is a normal subgroup of \(\text{SO}_3(\mathbb{Q})\) with index \(\omega\).
Mathematics Subject Classification ID: 20H20
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1880075
zbMATH Keywords: rotation groups
zbMATH Keywords: quaternion covers
zbMATH Keywords: type functions
MaRDI profile type: Publication
cites work: Q3241211
cites work: Q5830680
cites work: Images and quotients of SO(3,R): remarks on a theorem of Van der Waerden
cites work: Q5805997
cites work: Free subgroups ofS03(Q)
cites work: Stetigkeitssätze für halbeinfache Liesche Gruppen
description: scientific article; zbMATH DE number 1880075