Linearly Mismatched Free-by-Cyclic Groups are Asynchronously Automatic

Benjamin Gustafson, Benjamin L. Jeffers

We call the family of free-by-cyclic groups defined by $G=⟨a,t,b_1,b_2,\dots b_k\mid at=ta,b_1^{-1}t{b}_1=a^{n_1}t,\dots b_k^{-1}t{b}_k=a^{n_k}t⟩$ for $n_…