A hyperbolic Out(F_n)-complex
By M. Bestvina, Mark Feighn. 2008
49 citations recorded by the source corpus.
For any finite collection $f_i$ of fully irreducible automorphisms of the free group $F_n$ we construct a connected $\delta$-hyperbolic $Out(F_n)$-complex in which each $f_i$ has positive translation length.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/021a18652913d3e8b2350904a6314e7d1cd95baa
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In Geometry and Topology
- Denis V. Osin
- Alessandro Sisto
- Ashot Minasyan
- Michael Hull
- Anthony Genevois
- Jason A. Behrstock
- Mark F. Hagen
- D. Groves
In Mathematical Physics
- Denis V. Osin
- Alessandro Sisto
- Mark F. Hagen
- Michael Hull
- Anthony Genevois
- Ashot Minasyan
- Jason A. Behrstock
- Vincent Guirardel
Citations in the corpus
- Acylindrically hyperbolic groups (2013, background): “Bestvina and Feighn [6] proved that for every fully irreducible automorphism f ∈ Out ( F n ) there exists a hyperbolic graph such that Out ( F n ) acts on it and the action of f satisfies the weak proper discontinuity condition.”
- GROUPS ACTING ACYLINDRICALLY ON HYPERBOLIC SPACES (2017, background): “Bestvina and Feighn [9] proved that for every fully irreducible automorphism f ∈ Out ( F n ) there exists a hyperbolic graph such that Out ( F n ) acts on it and the action of f satisfies the weak proper discontinuity condition.”