Separability properties of free groups and surface groups
Separability properties of free groups and surface groups
A subset X of a group G is said to be separable if it is closed in the profinite topology. Separable subgroups are very useful in low-dimensional topology and there has been some interest in separable double cosets. A new method for showing that a double coset is separable is introduced and it is used to obtain a short proof of the result of Gitik and Rips, that in a free group every double coset of finitely generated subgroups is separable. In addition it is shown that this property is shared by Fuchsian groups and the fundamental groups of Seifert fibred 3-manifolds.
77-84
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
20 March 1992
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Niblo, Graham A.
(1992)
Separability properties of free groups and surface groups.
Journal of Pure and Applied Algebra, 78 (1), .
Abstract
A subset X of a group G is said to be separable if it is closed in the profinite topology. Separable subgroups are very useful in low-dimensional topology and there has been some interest in separable double cosets. A new method for showing that a double coset is separable is introduced and it is used to obtain a short proof of the result of Gitik and Rips, that in a free group every double coset of finitely generated subgroups is separable. In addition it is shown that this property is shared by Fuchsian groups and the fundamental groups of Seifert fibred 3-manifolds.
This record has no associated files available for download.
More information
Published date: 20 March 1992
Identifiers
Local EPrints ID: 446604
URI: http://eprints.soton.ac.uk/id/eprint/446604
ISSN: 0022-4049
PURE UUID: 494f53db-71dc-42e3-a3e4-2a73385ae9b4
Catalogue record
Date deposited: 16 Feb 2021 17:31
Last modified: 17 Mar 2024 02:39
Export record
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
