Large arboreal Galois representations

DOI10.1016/j.jnt.2019.09.021zbMath1468.11228arXiv1802.09074OpenAlexW2789071099WikidataQ127017353 ScholiaQ127017353MaRDI QIDQ2291715

Boris Kadets

Publication date: 31 January 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09074

zbMATH Keywords

arithmetic dynamicsiterated monodromy grouparboreal representation

Mathematics Subject Classification ID

Galois theory (11R32) Galois representations (11F80) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items

Odoni’s conjecture on arboreal Galois representations is false ⋮ Survey lecture on arithmetic dynamics ⋮ Arboreal Cantor actions ⋮ Riccati equations and polynomial dynamics over function fields ⋮ Odoni's conjecture for number fields ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture

Cites Work

• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• The Galois Theory of Iterates and Composites of Polynomials
• Iterates of generic polynomials and generic rational functions
• Galois representations from pre-image trees: an arboreal survey
• Odoni's conjecture for number fields
• Dynamical Galois groups of trinomials and Odoni's conjecture
• On the interval containing at least one prime number
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