1 citations · 3 across the 7 of their papers we have counts for
9 papers
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…
The non-unit conjecture for Misiurewicz parameters
Robert L. Benedetto, Vefa Goksel
A Misiurewicz parameter is a complex number for which the orbit of the critical point under is strictly preperiodic. Such parameters play the same role as special…
Arboreal Galois groups for cubic polynomials with colliding critical points
Robert L. Benedetto, William DeGroot, Xinyu Ni +3
Let be a field, and let be a rational function of degree . The Galois group of the field extension generated by the preimages of under all itera…
Specializations of Iterated Galois Groups of PCF Rational Functions
Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1
We obtain a criterion for when the specialization of the iterated Galois group for a post-critically finite (PCF) rational map is as large as possible, i.e., it equals the generic…
Arboreal Galois groups for quadratic rational functions with colliding critical points
Robert L. Benedetto, Anna Dietrich
Let be a field, and let be rational function. The preimages of a point under iterates of have a natural tree structure. As a result, the Galois…
Misiurewicz polynomials and dynamical units, Part II
Robert L. Benedetto, Vefa Goksel
Fix an integer . The parameters for which the unicritical polynomial has finite postcritical orbit, also know…