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Arboreal Galois groups of rational maps with nonreal Julia sets

Volume 221 / 2025

Chifan Leung Acta Arithmetica 221 (2025), 165-180 MSC: Primary 37P05 DOI: 10.4064/aa241204-24-6 Published online: 28 October 2025

Abstract

We prove a nonabelian arboreal Galois group result for certain maps with nonreal Julia set at an archimedean place. We investigate the question of determining which polynomials defined over $\mathbb R$ have real Julia set.

Authors

  • Chifan LeungBeijing International Center for Mathematical Research
    Peking University
    100871 Beijing, P. R. China
    e-mail

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