2023/05/13 by Robert Rust, Rust, Robert
Computer Science · Mathematics · #20E05 #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2305.07994
openalex publication_date 2023/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ∘ 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.