Specializations of Iterated Galois Groups of PCF Rational Functions
Number Theory
2023-09-06 v1
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.
Keywords
Cite
@article{arxiv.2309.00840,
title = {Specializations of Iterated Galois Groups of PCF Rational Functions},
author = {Robert L. Benedetto and Dragos Ghioca and Jamie Juul and Thomas J. Tucker},
journal= {arXiv preprint arXiv:2309.00840},
year = {2023}
}