NON-NESTING ACTIONS ON REAL TREES

GILBERT LEVITT

doi:10.1112/S0024609397003561

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.

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NON-NESTING ACTIONS ON REAL TREES

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