On products of closed subsets in free groups

Rita Gitik, Eliyahu Rips

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present examples of closed subsets of a free group such that their product is not closed in the profinite topology. We discuss how to characterize a subset of a free group which is closed in the profinite topology and its product with any finitely generated subgroup of a free group is also closed in the profinite topology.

Original languageEnglish
Title of host publicationElementary Theory of Groups and Group Rings, and Related Topics - Proceedings of the Conference
EditorsPaul Baginski, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Vladimir Shpilrain
PublisherWalter de Gruyter GmbH
Pages81-84
Number of pages4
ISBN (Electronic)9783110636734
DOIs
StatePublished - 10 Feb 2020
Event2018 Elementary Theory of Group Rings and Related Topics. A Conference in Honor of Gilbert Baumslag and the 70th Birthdays of Ben Fine and Tony Gaglione - New York, United States
Duration: 1 Nov 20182 Nov 2018

Publication series

NameDe Gruyter Proceedings in Mathematics
ISSN (Print)2942-4801
ISSN (Electronic)2942-4828

Conference

Conference2018 Elementary Theory of Group Rings and Related Topics. A Conference in Honor of Gilbert Baumslag and the 70th Birthdays of Ben Fine and Tony Gaglione
Country/TerritoryUnited States
CityNew York
Period1/11/182/11/18

Bibliographical note

Publisher Copyright:
© 2020 De Gruyter Proceedings in Mathematics. All rights reserved.

Keywords

  • closed set
  • free group
  • profinite topology
  • Topological group

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