Geodesic
A question for iterated Galois groups in arithmetic dynamics
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 401-417

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DOI

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.
DOI : 10.4153/S0008439520000521
Mots-clés : Arithmetic dynamics, arboreal Galois representations, iterated Galois groups 
Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. A question for iterated Galois groups in arithmetic dynamics. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 401-417. doi: 10.4153/S0008439520000521
@article{10_4153_S0008439520000521,
     author = {Bridy, Andrew and Doyle, John R. and Ghioca, Dragos and Hsia, Liang-Chung and Tucker, Thomas J.},
     title = {A question for iterated {Galois} groups in arithmetic dynamics},
     journal = {Canadian mathematical bulletin},
     pages = {401--417},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000521},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000521/}
}
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