Examples of groups whose automorphisms have exotic growth
R\'emi Coulon
TL;DR
This paper provides examples of finitely generated groups with outer automorphisms exhibiting unusual growth behaviors in conjugacy classes, highlighting exotic automorphism dynamics.
Contribution
It introduces specific examples of groups with outer automorphisms that display exotic conjugacy class growth patterns, expanding understanding of automorphism behaviors.
Findings
Examples of groups with automorphisms of exotic growth
Automorphisms with non-standard conjugacy class dynamics
New insights into automorphism growth behaviors
Abstract
In this note we produce examples of outer automorphisms of finitely generated groups which have exotic behaviors in terms of growth of conjugacy classes.
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Taxonomy
TopicsGeometric and Algebraic Topology · Rings, Modules, and Algebras · Advanced Operator Algebra Research