Counting Conjugacy Classes in $Out(F_N)$
Group Theory
2017-07-25 v1 Dynamical Systems
Geometric Topology
Abstract
We show that if a f.g. group has a non-elementary WPD action on a hyperbolic metric space , then the number of -conjugacy classes of -loxodromic elements of coming from a ball of radius in the Cayley graph of grows exponentially in . As an application we prove that for the number of distinct -conjugacy classes of fully irreducibles from an -ball in the Cayley graph of with on the order of grows exponentially in .
Cite
@article{arxiv.1707.07095,
title = {Counting Conjugacy Classes in $Out(F_N)$},
author = {Michael Hull and Ilya Kapovich},
journal= {arXiv preprint arXiv:1707.07095},
year = {2017}
}