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NON-NESTING ACTIONS ON REAL TREES

Published online by Cambridge University Press:  01 January 1998

GILBERT LEVITT
GILBERT LEVITT
Affiliation:
Laboratoire Émile Picard, UMR CNRS 5580, Université Paul Sabatier, 31062 Toulouse Cedex 4, France
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Abstract

The theory of isometric group actions on R-trees is extended to actions by homeomorphisms with the following non-nesting property: no group element maps an arc properly into itself. A finitely presented group acting freely by homeomorphisms on an R-tree is free abelian or splits over a (possibly trivial) cyclic group.

Information

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 1 , January 1998 , pp. 46 - 54
Copyright
© The London Mathematical Society 1998

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