
## 10. Find more arboreal Galois representations

1. #### Problem 10.1.

[Jones, Manes] Find classes of examples of polynomials or rational maps $d\geq 3$ for which we can compute explicitly the arboreal Galois representation up to finite index over various fields.
1. Remark. Try Stoll’s techniques for $x^p+c$ for $p$ prime.
• #### Problem 10.2.

Generalizing: Can you find an example in higher dimensions?

Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.