@article{7930365abf2a4b7c8b28075355261350,
title = "A question for iterated Galois groups in arithmetic dynamics",
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.",
keywords = "AMS subject classification 37P15 11G50 11R32 14G25 37P05 37P30",
author = "Andrew Bridy and Doyle, {John R.} and Dragos Ghioca and Hsia, {Liang Chung} and Tucker, {Thomas J.}",
note = "Funding Information: Received by the editors October 3, 2019; revised July 2, 2020. Published online on Cambridge Core July 10, 2020. 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. AMS subject classification: 37P15, 11G50, 11R32, 14G25, 37P05, 37P30. Keywords: Arithmetic dynamics, arboreal Galois representations, iterated Galois groups. Publisher Copyright: {\textcopyright} ",
year = "2021",
month = jun,
doi = "10.4153/S0008439520000521",
language = "English",
volume = "64",
pages = "401--417",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
publisher = "Canadian Mathematical Society",
number = "2",
}