A question for iterated Galois groups in arithmetic dynamics

Andrew Bridy; John R. Doyle; Dragos Ghioca; Liang Chung Hsia; Thomas J. Tucker

doi:10.4153/S0008439520000521

A question for iterated Galois groups in arithmetic dynamics

Andrew Bridy, John R. Doyle, Dragos Ghioca, Liang Chung Hsia, Thomas J. Tucker

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	401-417
Number of pages	17
Journal	Canadian Mathematical Bulletin
Volume	64
Issue number	2
DOIs	https://doi.org/10.4153/S0008439520000521
Publication status	Published - 2021 Jun

Keywords

AMS subject classification 37P15 11G50 11R32 14G25 37P05 37P30

ASJC Scopus subject areas

General Mathematics

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10.4153/S0008439520000521

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AU - Tucker, Thomas J.

PY - 2021/6

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A question for iterated Galois groups in arithmetic dynamics

Abstract

Keywords

ASJC Scopus subject areas

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