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Automorphisms of the graph of free splittings

Group Theory 2009-09-22 v1 General Topology

Abstract

We prove that every simplicial automorphism of the free splitting graph of a free group of at least rank 3 is induced by an outer automorphism of the free group.

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Cite

@article{arxiv.0909.3660,
  title  = {Automorphisms of the graph of free splittings},
  author = {Javier Aramayona and Juan Souto},
  journal= {arXiv preprint arXiv:0909.3660},
  year   = {2009}
}

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11 pages