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arXiv · 2411.06745

Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case

Robert L. Benedetto·Dragos Ghioca·Jamie Juul·Thomas J. Tucker
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Abstract

We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial $f(z) = z^2 +c$, where $c$ belongs to some arbitrary field of characteristic not equal to $2$. In this first of two papers, we consider the case that the critical point is periodic.

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Robert L. Benedetto, Dragos Ghioca, Jamie Juul, Thomas J. Tucker. 2024-11-11. Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case. https://arxiv.org/abs/2411.06745

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