A question for iterated Galois groups in arithmetic dynamics

A question for iterated Galois groups in arithmetic dynamics

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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Veröffentlicht in:Canadian mathematical bulletin 2021-06, Vol.64 (2), p.401-417
Hauptverfasser: Bridy, Andrew, Doyle, John R., Ghioca, Dragos, Hsia, Liang-Chung, Tucker, Thomas J.
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Mathematical analysis
Polynomials
Questions
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Zusammenfassung: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.
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439520000521