Rational Preperiodic Points of Quadratic Rational Maps over $\mathbb{Q}$ with Nonabelian Automorphism Groups

Hasan Bilgili, Mohammad Sadek

Let $f:{\mathbb{P}}^1\to {\mathbb{P}}^1$ be a quadratic rational map defined over the rational field $\mathbb{Q}$ with nonabelian automorphism group. We prove that no such map has a $\m…