Examples of Quadratic Polynomials over $\mathbb{Q}$ with Surjective Arboreal Galois Representations

Luck Henderson, Jamie Juul, Brenner Lattin +2

We explore families of pairs of quadratic polynomials $f(x)=x^2+c\in \mathbb{Q}$ and $a\in \mathbb{Q}$ with $a$ being a strictly preperiodic point of $f$ to provide infinitely many…