Iterated monodromy groups of rational functions and periodic points over finite fields

Andrew Bridy, Rafe Jones, Gregory Kelsey +1

Let $q$ be a prime power and $\varphi$ a rational function with coefficients in a finite field ${\mathbb{F}}_q$. For $n\ge 1$, each element of $\mathbb{P}^1(\F_{q^n})$ is either periodic…