Published online by Cambridge University Press: 10 July 2020
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.
D.G. was partially supported by an NSERC Discovery grant. L.-C. H. was partially supported by MOST Grant 108-2115-M-003-005-MY2.