Dynamics of primitive elements under group actions
Group Theory
2024-06-14 v2 Dynamical Systems
Abstract
We investigate group actions in which certain primitive elements fix a point, while not all group elements possess this property when acting upon some space. Using similar dynamical tools, we introduce the notion of Nielsen girth and prove the existence of groups with infinite girth but having finite Nielsen girth.
Keywords
Cite
@article{arxiv.2403.16769,
title = {Dynamics of primitive elements under group actions},
author = {Pratyush Mishra},
journal= {arXiv preprint arXiv:2403.16769},
year = {2024}
}
Comments
Added section 9 and a few minor corrections have been made