# Indecomposable $F_N$-trees and minimal laminations

@article{Coulbois2011IndecomposableA,
title={Indecomposable \$F\_N\$-trees and minimal laminations},
author={Thierry Coulbois and Arnaud Hilion and Patrick Reynolds},
journal={arXiv: Group Theory},
year={2011}
}
• Published 16 October 2011
• Mathematics
• arXiv: Group Theory
We extend the techniques of [CH] to build an inductive procedure for studying actions in the boundary of the Culler-Vogtmann Outer Space, the main novelty being an adaptation of he classical Rauzy-Veech induction for studying actions of surface type. As an application, we prove that a tree in the boundary of Outer space is free and indecomposable if and only if its dual lamination is minimal up to diagonal leaves. Our main result generalizes [BFH97, Proposition 1.8] as well as the main result…
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