The rank of actions on -trees
Damien Gaboriau, Gilbert Levitt (1995)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Damien Gaboriau, Gilbert Levitt (1995)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Vincent Guirardel (2008)
Annales de l’institut Fourier
Similarity:
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 -orbifolds. This extends results by Sela and Rips-Sela. However, their results are misstated, and we give a counterexample to their...
M.A. Ronan, J. Tits (1994)
Inventiones mathematicae
Similarity:
Ted Petrie (1972)
Inventiones mathematicae
Similarity:
Gilbert Levitt (1994)
Publicacions Matemàtiques
Similarity:
Let G be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant Σ(G), in terms of geometric abelian actions on R-trees. We provide a proof of Brown's characterization of Σ(G) by exceptional abelian actions of G, using geometric methods.
Mladen Bestvina, Mark Feighn (1995)
Inventiones mathematicae
Similarity:
Charles Pugh, Michael Shub (1971/72)
Inventiones mathematicae
Similarity: