<p>We obtain a criterion for when the specialization of the iterated Galois group for a post-critically finite (PCF) rational map is as large as possible, i.e., it equals the generic iterated Galois group for the given map.</p>

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Specializations of iterated Galois groups of PCF rational functions

  • Robert L. Benedetto,
  • Dragos Ghioca,
  • Jamie Juul,
  • Thomas J. Tucker

摘要

We obtain a criterion for when the specialization of the iterated Galois group for a post-critically finite (PCF) rational map is as large as possible, i.e., it equals the generic iterated Galois group for the given map.