Metric and topological aspects of the symmetric group of countable degree

Peter J. Cameron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

There is a natural topology on the symmetric group on an infinite set Ω. If Ω is countable, the topology is derived from a metric, and the group is complete. This paper gives an account of this topology, including translations of topological concepts for permutation groups, the use of Baire category and Haar measure, and some results about confinitary permutation groups which are motivated by the combinatorics of finite symmetric groups.

Original languageEnglish
Pages (from-to)135-142
Number of pages8
JournalEuropean Journal of Combinatorics
Volume17
Issue number2-3
DOIs
Publication statusPublished - 1 Jan 1996

Fingerprint

Dive into the research topics of 'Metric and topological aspects of the symmetric group of countable degree'. Together they form a unique fingerprint.

Cite this