Displaying similar documents to “R-trees and the Bieri-Neumann-Strebel invariant.”

Actions of finitely generated groups on -trees

Vincent Guirardel (2008)

Annales de l’institut Fourier


We study actions of finitely generated groups on -trees under some stability hypotheses. We prove that either the group splits over some controlled subgroup (fixing an arc in particular), or the action can be obtained by gluing together actions of simple types: actions on simplicial trees, actions on lines, and actions coming from measured foliations on 2 -orbifolds. This extends results by Sela and Rips-Sela. However, their results are misstated, and we give a counterexample to their...

On the structure of path-like trees

F.A. Muntaner-Batle, Miquel Rius-Font (2008)

Discussiones Mathematicae Graph Theory


We study the structure of path-like trees. In order to do this, we introduce a set of trees that we call expandable trees. In this paper we also generalize the concept of path-like trees and we call such generalization generalized path-like trees. As in the case of path-like trees, generalized path-like trees, have very nice labeling properties.