Algebraically determined topologies on permutation groups

TL;DR

This paper investigates algebraically determined topologies on permutation groups, addressing specific questions posed by Dikran Dikranjan to deepen understanding of their structure and properties.

Contribution

It provides new insights into the structure of algebraically determined topologies on permutation groups, answering open questions in the field.

Findings

Characterization of algebraically determined topologies on permutation groups

Resolution of Dikranjan's questions about these topologies

Enhanced understanding of the interplay between algebraic and topological properties

Abstract

In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.