## 95 Citations

EQUIVALENCE IN FREE GROUPS

- Mathematics
- 2006

Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study the situation when…

TRANSLATION EQUIVALENCE IN FREE GROUPS

- Mathematics
- 2006

Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study the situation when…

Translation equivalence in free groups

- Mathematics
- 2004

Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study the situation when…

Discrete and free groups acting on locally finite trees

- Mathematics, Computer ScienceJournal of Algebra
- 2022

On the topological dimension of the Gromov
boundaries of some hyperbolic Out(FN)-graphs

- MathematicsPacific Journal of Mathematics
- 2020

We give upper bounds, linear in rank, to the topological dimensions of the Gromov boundaries of the intersection graph, the free factor graph and the cyclic splitting graph of a finitely generated…

Fixed points of finite groups of free group automorphisms

- Mathematics
- 1993

We construct an equivariant collection of contractions of the compactified Culler-Vogtmann outer space X„ . As a consequence, we prove that any finite subgroup of the outer automorphism group of a…

Reading small actions of a one-ended hyperbolic group on R-trees from its JSJ splitting.

- Mathematics
- 2000

In this paper, we show how the canonical JSJ splitting of a one-ended hyperbolic group allows us to understand all its small actions on R-trees: they are obtained by blowing up the surface type…

Contractibility of deformation spaces of G-trees

- Mathematics
- 2005

Forester has defined spaces of simplicial tree actions for a finitely generated group, called deformation spaces. Culler and Vogtmann's Outer space is an example of a deformation space. Using ideas…

Outer Automorphisms of Hyperbolic Groups and Small Actions on ℝ-Trees

- Mathematics
- 1991

If Γ is a group, denote by Out(Γ) the group of outer automorphisms of Γ. The definitions of the notions used in this introduction are given in the first section. The main theorem of this paper…

Deformation spaces of trees

- Mathematics
- 2006

Let G be a finitely generated group. Two simplicial G-trees are said to be in the same deformation space if they have the same elliptic subgroups (if H fixes a point in one tree, it also does in the…

## References

SHOWING 1-10 OF 12 REFERENCES

Abstract length functions in groups

- MathematicsMathematical Proceedings of the Cambridge Philosophical Society
- 1976

If F is a free group on some fixed basis X, there is a mapping from F to the non-negative integers, given by sending an element of F to the length of the normal word in X±1 representing it. A similar…

Moduli of graphs and automorphisms of free groups

- Mathematics
- 1986

This paper represents the beginning of an a t tempt to transfer, to the study of outer au tomorphisms of free groups, the powerful geometric techniques that were invented by Thurs ton to study…

Degenerations of hyperbolic structures, II: Measured laminations in 3-manifolds

- Mathematics
- 1988

That paper concerned the general theory of groups acting on R-trees and the relationship of these actions to representations into SL2(C). The purpose of the present paper is to develop the…

Topologie de Gromov équivariante, structures hyperboliques et arbres réels

- Mathematics
- 1988

RésuméLes objets que nous étudions sont les espaces métriques munis d'une action par isométrie d'un groupe fixé Γ. Nous définissons une «topologie» naturelle sur «l'ensemble» de ces espaces. Nous…