Out($F_r$) train track automata I: Proper full fold decompositions
Group Theory
2025-02-25 v2 Geometric Topology
Abstract
We describe train track automata for large classes of fully irreducible elements of Out(), and their associated geodesics in Culler-Vogtmann Outer Space.
Keywords
Cite
@article{arxiv.2409.05599,
title = {Out($F_r$) train track automata I: Proper full fold decompositions},
author = {Catherine Eva Pfaff},
journal= {arXiv preprint arXiv:2409.05599},
year = {2025}
}
Comments
Definition of fully preprincipal adjusted & Proposition 7.1 strengthened to include all nongeometric fully irreducible outer automorphisms