English

Acylindrically hyperbolic groups and counting problems

Group Theory 2025-04-30 v1 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.2504.20985,
  title  = {Acylindrically hyperbolic groups and counting problems},
  author = {Inhyeok Choi},
  journal= {arXiv preprint arXiv:2504.20985},
  year   = {2025}
}

Comments

18 pages, 2 figures. Comments welcome!