The University of Southampton
University of Southampton Institutional Repository

H.N.N. extensions of a free group by Z which are subgroup separable

H.N.N. extensions of a free group by Z which are subgroup separable
H.N.N. extensions of a free group by Z which are subgroup separable
Using ideas based on a paper by Brunner, Burns, and Solitar [1] we find sufficient conditions on a pair of infinite cyclic subgroups of a free group, so that the H.N.N. extension which associates the two subgroups is subgroup separable. In particular this gives yet another proof that surface groups are subgroup separable. To simplify record keeping in the proofs, topology is used in place of the idea of an abstract cress which was the key to the result in [1].
0024-6115
18-32
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944
Niblo, Graham A.
43fe9561-c483-4cdf-bee5-0de388b78944

Niblo, Graham A. (1990) H.N.N. extensions of a free group by Z which are subgroup separable. Proceedings of the London Mathematical Society, 18-32. (doi:10.1112/plms/s3-61.1.18).

Record type: Article

Abstract

Using ideas based on a paper by Brunner, Burns, and Solitar [1] we find sufficient conditions on a pair of infinite cyclic subgroups of a free group, so that the H.N.N. extension which associates the two subgroups is subgroup separable. In particular this gives yet another proof that surface groups are subgroup separable. To simplify record keeping in the proofs, topology is used in place of the idea of an abstract cress which was the key to the result in [1].

Full text not available from this repository.

More information

Published date: July 1990

Identifiers

Local EPrints ID: 446603
URI: http://eprints.soton.ac.uk/id/eprint/446603
ISSN: 0024-6115
PURE UUID: 42065ca0-da6d-4634-9cb9-a7882c6525ae
ORCID for Graham A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027

Catalogue record

Date deposited: 16 Feb 2021 17:31
Last modified: 18 Feb 2021 16:41

Export record

Altmetrics

Contributors

Author: Graham A. Niblo ORCID iD

University divisions

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×