A question for iterated Galois groups in arithmetic dynamics

@article{Bridy2019AQF,
  title={A question for iterated Galois groups in arithmetic dynamics},
  author={Andrew Bridy and John R. Doyle and Dragos Ghioca and Liang-Chung Hsia and Thomas J. Tucker},
  journal={Canadian Mathematical Bulletin},
  year={2019},
  volume={64},
  pages={401 - 417}
}
Abstract We formulate a general question regarding the size of the iterated Galois groups associated with an algebraic dynamical system and then we discuss some special cases of our question. Our main result answers this question for certain split polynomial maps whose coordinates are unicritical polynomials. 

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