Odoni's conjecture for number fields

DOI10.1112/blms.12225zbMath1470.11289arXiv1803.01987OpenAlexW3105364416WikidataQ123218663 ScholiaQ123218663MaRDI QIDQ5229523

Robert L. Benedetto, Jamie Juul

Publication date: 15 August 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01987

zbMATH Keywords

Odoni's conjecture

Mathematics Subject Classification ID

Galois theory (11R32) Global ground fields in algebraic geometry (14G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (10)

The arithmetic basilica: a quadratic PCF arboreal Galois group ⋮ Odoni’s conjecture on arboreal Galois representations is false ⋮ Backward orbits of critical points ⋮ Cyclotomic and abelian points in backward orbits of rational functions ⋮ Irreducible polynomials in quadratic semigroups ⋮ Large arboreal Galois representations ⋮ Arboreal Cantor actions ⋮ Riccati equations and polynomial dynamics over function fields ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

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• The image of an arboreal Galois representation
• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• Large arboreal Galois representations
• On the Prime Divisors of the Sequence W _{n +1} = 1 + W ₁ …W _n
• 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

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