On linear groups
type: Item
instance of: scholarly article
title: On linear groups
zbMATH Open document ID: 0703.20039
DOI: 10.1016/0021-8693(90)90193-R
author: Geoffrey R. Robinson
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: The author gives a new proof of C. Jordan's theorem. Also included are results on finite subgroups G of GL(n,\({\mathbb{C}})\); e.g. if certain assumptions are made on the eigenvalues of the elements x and y in G, then x and y commute; in addition, if an element x in G is of order \(p^ m\) and under some conditions for the eigenvalues of x and for p, all conjugates of x in G generate an Abelian subgroup of G.
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 4152702
zbMATH Keywords: finite subgroups of GL(n,\({\mathbb{C}})\)
zbMATH Keywords: C. Jordan's theorem
zbMATH Keywords: eigenvalues
zbMATH Keywords: Abelian subgroup
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
cites work: Q5340151
cites work: Q4103728
cites work: Primitive Linear Groups Containing a Normal Nilpotent Subgroup Larger Than the Centre of the Group
cites work: Some remarks on p-local cores in linear groups
full work available at URL: 0021-8693(90)90193-r
OpenAlex ID: W1986305839
description: scientific article; zbMATH DE number 4152702