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11. Formal period n

Let K_n=K(points of formal period n) and let G_n=K_n/K. Let \rho_n:G_N\rightarrow \mathbb{Z}/n\mathbb{Z} \wr S_m
(or a subgroup fixed by \text{Aut}(f)) where m\approx \deg f^n/n.
    1. Problem 11.1.

      [Silverman] When is the image maximal?
        • Problem 11.2.

          Describe K_n\cap K_{n'}. Prove that this is small.

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