The minimally displaced set of an irreducible automorphism of \(F_N\) is co-compact
DOI10.1007/s00013-021-01579-zzbMath1482.20015arXiv2001.05931OpenAlexW3135480635MaRDI QIDQ2025593
Stefano Francaviglia, Armando Martino, Dionysios Syrigos
Publication date: 14 May 2021
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.05931
exponential growthLipschitz metricCuller-Vogtmann spaceirreducible automorphismminimally displacement set
Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)
Cites Work
- Unnamed Item
- The isometry group of outer space
- Stretching factors, metrics and train tracks for free products
- Metric properties of outer space.
- Asymmetry of outer space.
- Irreducible automorphisms of growth rate one
- Moduli of graphs and automorphisms of free groups
- Train tracks and automorphisms of free groups
- Laminations, trees, and irreducible automorphisms of free groups
- Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
- Axes in outer space
- A Bers-like proof of the existence of train tracks for free group automorphisms
- Group Actions On R-Trees
- Algorithmic detectability of iwip automorphisms
- Displacements of automorphisms of free groups I: Displacement functions, minpoints and train tracks
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