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 language | English |
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| Title of host publication | Elementary Theory of Groups and Group Rings, and Related Topics - Proceedings of the Conference |
| Editors | Paul Baginski, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Vladimir Shpilrain |
| Publisher | Walter de Gruyter GmbH |
| Pages | 81-84 |
| Number of pages | 4 |
| ISBN (Electronic) | 9783110636734 |
| DOIs | |
| State | Published - 10 Feb 2020 |
| Event | 2018 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 2018 → 2 Nov 2018 |
Publication series
| Name | De Gruyter Proceedings in Mathematics |
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| ISSN (Print) | 2942-4801 |
| ISSN (Electronic) | 2942-4828 |
Conference
| Conference | 2018 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/Territory | United States |
| City | New York |
| Period | 1/11/18 → 2/11/18 |
Bibliographical note
Publisher Copyright:© 2020 De Gruyter Proceedings in Mathematics. All rights reserved.
Keywords
- Topological group
- closed set
- free group
- profinite topology