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arXiv · 2305.07994

A Bound for Higher Degree Automorphisms of $F_n$

Robert Rust
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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 $f \circ g$ for deg$(f) =$ deg($g) = 0$ had previously been discovered. We extend this result to the case where at least one of our automorphisms has degree 0.

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Robert Rust. 2023-05-13. A Bound for Higher Degree Automorphisms of $F_n$. https://arxiv.org/abs/2305.07994

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