4 papers
PCF All The Way Down
Taylor Dupuy, Alon Levy, Thomas Tucker +2
We prove that a finite surjective post-critically finite self-map of a variety in characteristic zero remains post-critically finite on every preperiodic integral effective divisor…
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…
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…
Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial , where belongs to some arbitrary field of characterist…