Prime-powered images and irreducible polynomials in dynamical semigroups

Aristaa Bhardwaj, Adrian Boyer-Paulet, Wade Hindes +2

Let $G=⟨x^d+c_1,\dots ,x^d+c_s⟩$ be a semigroup generated under composition for some $c_1,\dots ,c_s\in \mathbb{Z}$ and some $d\ge 2$. Then we prove that, outside of an e…