Thomas J. Tucker

collaborators

3 papers

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 $f (z) = z^{2} + c$ in the special case when the critical…

math.NT2025

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 $f (z) = z^{2} + c$ , where $c$ belongs to some arbitrary field of characterist…