A question for iterated Galois groups in arithmetic dynamics

DOI10.4153/S0008439520000521zbMath1475.37111arXiv1910.02828OpenAlexW3040897897MaRDI QIDQ5003442

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

Publication date: 22 July 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02828

zbMATH Keywords

arithmetic dynamicsarboreal Galois representationsiterated Galois groups

Mathematics Subject Classification ID

Galois theory (11R32) Heights (11G50) Global ground fields in algebraic geometry (14G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)

Related Items (1)

Galois groups and prime divisors in random quadratic sequences

Cites Work

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• Kummer theory for Drinfeld modules
• The arithmetic Hodge index theorem for adelic line bundles
• A large arboreal Galois representation for a cubic postcritically finite polynomial
• Dynamical anomalous subvarieties: structure and bounded height theorems
• The image of an arboreal Galois representation
• Kummer theory on extensions of Abelian varieties by tori
• Finite ramification for preimage fields of post-critically finite morphisms
• Finite index theorems for iterated Galois groups of cubic polynomials
• The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps
• Invariant varieties for polynomial dynamical systems
• Galois theory of quadratic rational functions
• Arboreal Galois representations
• Towards a Dynamical Manin-Mumford Conjecture
• The Galois Theory of Iterates and Composites of Polynomials
• Realising wreath products of cyclic groups as Galois groups
• Wreath Products and Proportions of Periodic Points
• Iterates of generic polynomials and generic rational functions
• Eventually stable rational functions
• Dynamics of Split Polynomial Maps: Uniform Bounds for Periods and Applications
• The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of
• Galois representations from pre-image trees: an arboreal survey
• Finite index theorems for iterated Galois groups of unicritical polynomials
• Bounded Height in Families of Dynamical Systems
• Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set

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