Botany of irreducible automorphisms of free groups
Thierry Coulbois, Arnaud Hilion
TL;DR
This paper classifies irreducible automorphisms of free groups by analyzing their attracting and repelling trees, providing a structured understanding of their dynamics.
Contribution
It offers a new classification framework for iwip outer automorphisms based on their associated trees, advancing the understanding of free group automorphisms.
Findings
Classification of iwip automorphisms via attracting and repelling trees
Identification of properties distinguishing different automorphism types
Enhanced understanding of automorphism dynamics in free groups
Abstract
We give a classification of iwip outer automorphisms of the free group, by discussing the properties of their attracting and repelling trees.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Homotopy and Cohomology in Algebraic Topology