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arXiv · 1406.6711

Automorphisms of graphs of cyclic splittings of free groups

Camille Horbez·Richard D. Wade
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Abstract

We prove that any isometry of the graph of cyclic splittings of a finitely generated free group $F_N$ of rank $N\ge 3$ is induced by an outer automorphism of $F_N$. The same statement also applies to the graphs of maximally-cyclic splittings, and of very small splittings.

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Camille Horbez, Richard D. Wade. 2014-06-25. Automorphisms of graphs of cyclic splittings of free groups. https://doi.org/10.1007/s10711-015-0051-2

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