Galois groups and prime divisors in random quadratic sequences

John R. Doyle, Vivian Olsiewski Healey, Wade Hindes +1

Given a set $S=\{x^2+c_1,\dots ,x^2+c_s\}$ defined over a field and an infinite sequence $\gamma$ of elements of $S$, one can associate an arboreal representation to $\gamma$, generalizing th…