Finitary linear representations of infinite symmetric and alternating groups
type: Item
instance of: scholarly article
title: Finitary linear representations of infinite symmetric and alternating groups
zbMATH Open document ID: 0832.20019
DOI: 10.1007/BF02263050
author: V. V. Belyaev
published in: Algebra and Logic
publication date: 1995-04-20T00:00:00Z
review text: A linear transformation of a vector space is called finitary if it acts identically on some subspace of finite codimension. It is clear that the set of all invertible finitary transformations of a vector space \(V\) is a normal subgroup \(\text{FGL}(V)\) of the group of all invertible linear transformations \(\text{GL}(V)\). A homomorphism of a group \(G\) into \(\text{FGL}(V)\) is called a finitary linear transformation of the group \(G\). The present article is devoted to the study of finitary representations of symmetric and alternating groups of finitary permutations on an infinite set.
Mathematics Subject Classification ID: 20C32
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 738965
zbMATH Keywords: invertible finitary transformations
zbMATH Keywords: invertible linear transformations
zbMATH Keywords: finitary representations
zbMATH Keywords: symmetric and alternating groups of finitary permutations
MaRDI profile type: Publication
cites work: Q5340151
cites work: Infinite alternating groups as finitary linear transformation groups
description: scientific article; zbMATH DE number 738965