On arboreal Galois representations of rational functions

DOI10.1016/j.jalgebra.2015.09.032zbMath1387.11081arXiv1407.7012OpenAlexW2962759578MaRDI QIDQ903934

Ashvin A. Swaminathan

Publication date: 15 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7012

zbMATH Keywords

iterates of polynomialsarboreal Galois representationsdynamical sequences

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Galois representations (11F80) Dynamical systems over global ground fields (37P15)

Related Items (1)

The arithmetic basilica: a quadratic PCF arboreal Galois group

Cites Work

• Galois theory of quadratic rational functions
• Dimension and randomness in groups acting on rooted trees
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• On the Prime Divisors of the Sequence W _{n +1} = 1 + W ₁ …W _n
• The Galois Theory of Iterates and Composites of Polynomials
• QUADRATIC RECURRENCES WITH A POSITIVE DENSITY OF PRIME DIVISORS
• Galois representations from pre-image trees: an arboreal survey

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