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Arboreal Galois groups of postcritically finite quadratic polynomials (2411.06745v1)
Published 11 Nov 2024 in math.NT
Abstract: We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial $f(z) = z2 +c$, 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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