The University of Southampton
University of Southampton Institutional Repository

Some free-by-cyclic groups

Some free-by-cyclic groups
Some free-by-cyclic groups
We exhibit free-by-cyclic groups containing non-free locally-free subgroups, including some word hyperbolic examples. We also show that these groups are not subgroup separable. We use Bestvina-Brady Morse theory in our arguments.
0521655765
261
512-516
Cambridge University Press
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wise, D.T.
a6be60e6-4841-4d3e-876e-51d1de63810b
Campbell, C.M.
Robertson, E.F.
Ruscuc, N.
Smith, G.C.
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Niblo, G.A.
43fe9561-c483-4cdf-bee5-0de388b78944
Wise, D.T.
a6be60e6-4841-4d3e-876e-51d1de63810b
Campbell, C.M.
Robertson, E.F.
Ruscuc, N.
Smith, G.C.

Leary, I.J., Niblo, G.A. and Wise, D.T. (1999) Some free-by-cyclic groups. In, Campbell, C.M., Robertson, E.F., Ruscuc, N. and Smith, G.C. (eds.) Groups St Andrews 1997 in Bath. (London Mathematical Society Lecture Note Series, , (doi:10.2277/0521655765), 261) Cambridge, UK. Cambridge University Press, pp. 512-516. (doi:10.2277/0521655765).

Record type: Book Section

Abstract

We exhibit free-by-cyclic groups containing non-free locally-free subgroups, including some word hyperbolic examples. We also show that these groups are not subgroup separable. We use Bestvina-Brady Morse theory in our arguments.

Text
Leary_Niblo_Wise.pdf - Author's Original
Download (102kB)

More information

Published date: 1999

Identifiers

Local EPrints ID: 29827
URI: http://eprints.soton.ac.uk/id/eprint/29827
ISBN: 0521655765
PURE UUID: 664cc66c-9742-45ec-99fb-76ca61132b7b
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979
ORCID for G.A. Niblo: ORCID iD orcid.org/0000-0003-0648-7027

Catalogue record

Date deposited: 15 May 2007
Last modified: 07 Oct 2020 04:54

Export record

Altmetrics

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.

×