Finite index theorems for iterated Galois groups of cubic polynomials

DOI10.1007/s00208-018-1670-3zbMath1476.37113arXiv1710.02257OpenAlexW2963346188MaRDI QIDQ1741813

Thomas J. Tucker, Andrew Bridy

Publication date: 7 May 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02257

zbMATH Keywords

algebraic extensiontranscendence degreearithmetic dynamicsarboreal finite index problem

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 (11)

The arithmetic basilica: a quadratic PCF arboreal Galois group ⋮ Eventually stable quadratic polynomials over \(\mathbb{Q}\) ⋮ Eventually stable rational functions ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ Isotriviality, integral points, and primitive primes in orbits in characteristic \(p\) ⋮ Stability of certain higher degree polynomials ⋮ Irreducible polynomials in quadratic semigroups ⋮ Finite index theorems for iterated Galois groups of unicritical polynomials ⋮ Arboreal Representations for Rational Maps with Few Critical Points ⋮ Dynamical height growth: left, right, and total orbits ⋮ A question for iterated Galois groups in arithmetic dynamics

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