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math.NT2025
Finite index theorems for iterated Galois groups of preperiodic points for unicritical polynomials
Minsik Han, Thomas J. Tucker
Let K be a number field and let f(x) = x^q + c where q is a prime power, c is in K, and f is not post-critically finite. We show that for any strictly preperiodic b in K, the itera…
math.NT2025
Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
In a previous paper, we provided an explicit description of the arboreal Galois group of the postcritically finite polynomial in the special case when the critical…