English

A hyperbolic Out(F_n)-complex

Group Theory 2009-11-09 v4 Geometric Topology

Abstract

For any finite collection fif_i of fully irreducible automorphisms of the free group FnF_n we construct a connected δ\delta-hyperbolic Out(Fn)Out(F_n)-complex in which each fif_i has positive translation length.

Keywords

Cite

@article{arxiv.0808.3730,
  title  = {A hyperbolic Out(F_n)-complex},
  author = {Mladen Bestvina and Mark Feighn},
  journal= {arXiv preprint arXiv:0808.3730},
  year   = {2009}
}

Comments

final version, to appear in Groups, Geometry and Dynamics

R2 v1 2026-06-21T11:14:21.505Z