Generators for the Pure Symmetric Outer Automorphisms of a Free Product
Group Theory
2025-07-23 v1
Abstract
We construct a `nice' subcomplex of the Outer Space for a free product in order to give a geometric proof that the pure symmetric outer automorphisms of a given splitting of a free product are generated by factor outer automorphisms and Whitehead outer automorphisms relative to the splittting.
Keywords
Cite
@article{arxiv.2507.16662,
title = {Generators for the Pure Symmetric Outer Automorphisms of a Free Product},
author = {Harry Iveson},
journal= {arXiv preprint arXiv:2507.16662},
year = {2025}
}