English

On the outer automorphism groups of free groups

Group Theory 2025-05-20 v1

Abstract

We prove that the outer automorphism group of a free group of countably infinite rank is complete.

Keywords

Cite

@article{arxiv.2505.12922,
  title  = {On the outer automorphism groups of free groups},
  author = {Vladimir A. Tolstykh},
  journal= {arXiv preprint arXiv:2505.12922},
  year   = {2025}
}

Comments

Preprint version

R2 v1 2026-07-01T02:21:24.085Z