The set of stable primes for polynomial sequences with large Galois group

DOI10.1090/proc/13958zbMath1442.11150arXiv1704.02204OpenAlexW2605934764MaRDI QIDQ4636733

Andrea Ferraguti

Publication date: 20 April 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02204

zbMATH Keywords

number fieldsnatural densityarboreal Galois representationsstable primes

Mathematics Subject Classification ID

Galois theory (11R32) Density theorems (11R45) Groups acting on trees (20E08)

Related Items (10)

A local to global principle for expected values ⋮ Settled elements in profinite groups ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ Cyclotomic and abelian points in backward orbits of rational functions ⋮ Irreducible polynomials in quadratic semigroups ⋮ On Rectangular Unimodular Matrices over the Algebraic Integers ⋮ An equivariant isomorphism theorem for mod $\mathfrak {p}$ reductions of arboreal Galois representations ⋮ Dynamical irreducibility of polynomials modulo primes ⋮ Dynamical height growth: left, right, and total orbits ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A large arboreal Galois representation for a cubic postcritically finite polynomial
• The image of an arboreal Galois representation
• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• An iterative construction of irreducible polynomials reducible modulo every prime
• Irreducible polynomials over finite fields produced by composition of quadratics
• Galois theory of quadratic rational functions
• Galois properties of points of finite order of elliptic curves
• Arboreal Galois representations
• ON THE MERTENS–CESÀRO THEOREM FOR NUMBER FIELDS
• 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
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• Wreath Products and Proportions of Periodic Points
• Galois representations from pre-image trees: an arboreal survey
• On Sets of Irreducible Polynomials Closed by Composition
• Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

This page was built for publication: The set of stable primes for polynomial sequences with large Galois group