Abstract
We examine the Galois groups of the extensions K((f′∘fn)−1(0))/K where K is a number field for polynomials f(x)∈K[x]. We use our understanding of this group to study the proportion of primes for which f has a p-adic attracting periodic point for a “typical” f and apply the result to the split case of the Dynamical Mordell-Lang Conjecture.
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