Arboreal Galois groups for cubic polynomials with colliding critical points

Robert L. Benedetto, William DeGroot, Xinyu Ni +3

Let $K$ be a field, and let $f\in K(z)$ be a rational function of degree $d\ge 2$. The Galois group of the field extension generated by the preimages of $x_0\in K$ under all itera…