On the geometry of the free factor graph for Aut(F_N)

Let Φ be a pseudo-Anosov diffeomorphism of a compact (possibily non-orientable) surface Σ with one boundary component. We show that if b ∈ π1(Σ) is the boundary word, ϕ ∈ Aut(π1(Σ)) is a representative of Φ fixing b, and adb denotes conjugation by b, then the orbits of ⟨ϕ, adb⟩ ∼= Z 2 in the graph o...

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Bibliographic Details
Main Authors: Bestvina, M, Bridson, M, Wade, R
Format: Journal article
Language:English
Published: EMS Press 2024