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Abstract

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)

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