Irreducibility of iterates of post-critically finite quadratic polynomials over \(\mathbb{Q}\)

DOI10.1216/RMJ-2019-49-7-2155zbMath1450.11112arXiv1710.06821MaRDI QIDQ2288235

Vefa Goksel

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06821

zbMATH Keywords

iterationquadratic polynomialPell equationpost-critically finite

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Dynamical systems over global ground fields (37P15)

Related Items (2)

Settled elements in profinite groups ⋮ Newly reducible polynomial iterates

Cites Work

• An iterative construction of irreducible polynomials reducible modulo every prime
• On the irreducibility of the iterates of 𝑥ⁿ-𝑏
• Settled polynomials over finite fields
• On the length of critical orbits of stable quadratic polynomials
• Integer Polynomials that are Reducible Modulo all Primes
• Irreducibility of the iterates of a quadratic polynomial over a field
• Irreducible polynomials which are locally reducible everywhere

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