Arboreal Galois groups of rational maps with nonreal Julia sets
Volume 221 / 2025
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.