3 papers
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…
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 , where belongs to some arbitrary field of characterist…
math.NT2025
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…