Metric and topological aspects of the symmetric group of countable degree
type: Item
instance of: scholarly article
title: Metric and topological aspects of the symmetric group of countable degree
zbMATH Open document ID: 0851.20001
author: Peter J. Cameron
published in: European Journal of Combinatorics
publication date: 1996-07-03T00:00:00Z
review text: This is a short and elegant survey on the topology on the symmetric group on a countable set. The paper includes some applications of Haar measure, a discussion of cofinitary permutation groups (that is, groups where every non-identity element has just finitely many fixed points), and an infinitary version of ideas of Maillet, with connections with geometric groups.
Mathematics Subject Classification ID: 20B07
Mathematics Subject Classification ID: 20B30
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 43A05
zbMATH DE Number: 871010
zbMATH Keywords: topological groups
zbMATH Keywords: small index property
zbMATH Keywords: symmetric group on a countable set
zbMATH Keywords: Haar measure
zbMATH Keywords: cofinitary permutation groups
zbMATH Keywords: geometric groups
reviewed by: H. D. Macpherson
MaRDI profile type: Publication
full work available at URL: eujc.1996.0012
OpenAlex ID: W2045342206
DOI: 10.1006/EUJC.1996.0012
description: scientific article; zbMATH DE number 871010