The Tits alternative for Out(F_n) I: Dynamics of exponentially-growing automorphisms
Mladen Bestvina, Mark Feighn, Michael Handel
TL;DR
This paper investigates the Tits alternative for Out(F_n), focusing on the dynamics of exponentially-growing automorphisms and reducing the problem to polynomial growth cases.
Contribution
It advances understanding of Out(F_n) by analyzing the dynamics of automorphisms with exponential growth, simplifying the Tits alternative proof.
Findings
Reduction of the Tits alternative to polynomial growth cases
Insights into the dynamics of exponentially-growing automorphisms
Framework for further analysis of Out(F_n) subgroups
Abstract
The Tits alternative for Out(F_n) is reduced to the case where all elements in the subgroup under consideration grow polynomially.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Algebra and Geometry