arXiv:1406.6711 Abstract | arXiv Analytics

arXiv:1406.6711 [math.GR]Abstract References Reviews Resources

Automorphisms of graphs of cyclic splittings of free groups

Published 2014-06-25, updated 2015-01-23Version 2

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.

Comments: 22 pages, 5 figures. Small modifications. To appear in Geometriae Dedicata

Categories: math.GR, math.GT

Subjects: 20E36, 20F65, 20E05, 20E08

Keywords: maximally-cyclic splittings, finitely generated free group, outer automorphism, small splittings

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