Finite groups in \(\beta G\)
type: Item
instance of: scholarly article
title: Finite groups in \(\beta G\)
zbMATH Open document ID: 0945.22001
published in: Matematychni Studiï
publication date: 1999-11-22T00:00:00Z
review text: The author gives a characterization of finite groups in the Stone-Čech compactification \(\beta G\) of a countable discrete group \(G\) and proves that if \(F\) is a finite subgroup with the identity \({\mathcal P}\) in \(\beta G\), then there exists a finite subgroup \(Y\) in \(G\) such that \(F=Y {\mathcal P}\) and \(y{\mathcal P}= {\mathcal P}y\) for each \(y\in Y\). Some applications of the above characterization are also presented.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54D80
zbMATH DE Number: 1366381
zbMATH Keywords: local topological group
zbMATH Keywords: maximal topological group
zbMATH Keywords: Stone-Čech compactification
author: Igor V. Protasov
reviewed by: Sobhakar Ganguly
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1366381