NON-NESTING ACTIONS ON REAL TREES

Authors
LEVITT G
Citation
G. Levitt, NON-NESTING ACTIONS ON REAL TREES, Bulletin of the London Mathematical Society, 30, 1998, pp. 46-54
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
30
Year of publication
1998
Part
1
Pages
46 - 54
Database
ISI
SICI code
0024-6093(1998)30:<46:NAORT>2.0.ZU;2-P
Abstract
The theory of isometric group actions on R-trees is extended to action s by homeomorphisms with the following non-nesting property: no group element maps an are properly into itself. A finitely presented group a cting freely by homeomorphisms on an R-tree is free abelian or splits over a (possibly trivial) cyclic group.