ar X iv : 0 90 2 . 40 17 v 1 [ m at h . G R ] 2 4 Fe b 20 09 PING - PONG AND OUTER SPACE


We prove that if ϕ, ψ ∈ Out(F N) are hyperbolic iwips (irreducible with irreducible powers) such that ϕ, ψ ≤ Out(F N) is not virtually cyclic then some high powers of ϕ and ψ generate a free subgroup of rank two, all of whose nontrivial elements are again hyperbolic iwips. Being a hyperbolic iwip element of Out(F N) is strongly analogous to being a pseudo… (More)


Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.