Folding sequences
Folding sequences
Bestvina and Feighn showed that a morphism S --> T between two simplicial trees that commutes with the action of a group G can be written as a product of elementary folding operations. Here a more general morphism between simplicial trees is considered, which allow different groups to act on S and T. It is shown that these morphisms can again be written as a product of elementary operations: the Bestvina-Feighn folds plus the so-called 'vertex morphisms'. Applications of this theory are presented. Limits of infinite folding sequences are considered. One application is that a finitely generated inaccessible group must contain an infinite torsion subgroup.
groups acting on trees, free groups
139-158
Geometry & Topology Publications
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3
1998
Dunwoody, M.J.
ab9cba4b-1c90-4353-ad26-2b497d25cce3
Dunwoody, M.J.
(1998)
Folding sequences.
In,
Rivin, Igor, Rourke, Colin and Series, Caroline
(eds.)
The Epstein Birthday Schrift.
(Geometry & Topology Monographs, 1)
Coventry, UK.
Geometry & Topology Publications, .
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Book Section
Abstract
Bestvina and Feighn showed that a morphism S --> T between two simplicial trees that commutes with the action of a group G can be written as a product of elementary folding operations. Here a more general morphism between simplicial trees is considered, which allow different groups to act on S and T. It is shown that these morphisms can again be written as a product of elementary operations: the Bestvina-Feighn folds plus the so-called 'vertex morphisms'. Applications of this theory are presented. Limits of infinite folding sequences are considered. One application is that a finitely generated inaccessible group must contain an infinite torsion subgroup.
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More information
Published date: 1998
Additional Information:
ISSN 1464-8989
Keywords:
groups acting on trees, free groups
Identifiers
Local EPrints ID: 29897
URI: http://eprints.soton.ac.uk/id/eprint/29897
PURE UUID: 3f3a1dcd-f026-4d9d-93b4-2b4be91a0bf0
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Date deposited: 15 May 2007
Last modified: 11 Dec 2021 15:16
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Contributors
Author:
M.J. Dunwoody
Editor:
Igor Rivin
Editor:
Colin Rourke
Editor:
Caroline Series
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