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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.