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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, 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.

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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

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Date deposited: 15 May 2007
Last modified: 16 Mar 2024 04:04

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Contributors

Author: I.J. Leary ORCID iD
Author: G.A. Niblo ORCID iD
Author: D.T. Wise
Editor: C.M. Campbell
Editor: E.F. Robertson
Editor: N. Ruscuc
Editor: G.C. Smith

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