Specializations of Iterated Galois Groups of PCF Rational Functions

2023/09/02 by Robert L. Benedetto, Dragos Ghioca, Benedetto, Robert L. +5 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2309.00840

openalex publication_date 2023/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a criterion for when the specialization of the iterated Galois group for a post-critically finite (PCF) rational map is as large as possible, i.e., it equals the generic iterated Galois group for the given map.

Cited by

• Semiconjugacy and Self-Similar Subgroups of pfIMGs
• Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case

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