Acylindrically hyperbolic groups and counting problems

Fuente: arXiv
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Main Author: Choi, Inhyeok
Format: Preprint
Published: 2025
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author Choi, Inhyeok
author_facet Choi, Inhyeok
contents We show that Morse elements are generic in acylindrically hyperbolic groups. As an application, we observe that fully irreducible outer automorphisms are generic in the outer automorphism group of a finite-rank free group.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20985
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Acylindrically hyperbolic groups and counting problems
Choi, Inhyeok
Group Theory
Geometric Topology
We show that Morse elements are generic in acylindrically hyperbolic groups. As an application, we observe that fully irreducible outer automorphisms are generic in the outer automorphism group of a finite-rank free group.
title Acylindrically hyperbolic groups and counting problems
topic Group Theory
Geometric Topology
url https://arxiv.org/abs/2504.20985