English

A Bound for Higher Degree Automorphisms of $F_n$

Group Theory 2023-05-16 v1 General Topology

Abstract

The Whitehead Model of free groups can be used to measure the complexity, or degree, of automorphisms of free groups. The bound for the degree of the fgf \circ g for deg(f)=(f) = deg(g)=0g) = 0 had previously been discovered. We extend this result to the case where at least one of our automorphisms has degree 0.

Keywords

Cite

@article{arxiv.2305.07994,
  title  = {A Bound for Higher Degree Automorphisms of $F_n$},
  author = {Robert Rust},
  journal= {arXiv preprint arXiv:2305.07994},
  year   = {2023}
}