63 citations · 325 across the 35 of their papers we have counts for
46 papers
Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms
Jason P. Bell, Thomas J. Tucker
In this paper, we explore a variety of finiteness questions for preperiodic points of morphisms. We begin by treating a group action analog of the Burnside problem for torsion grou…
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…
Integral points in orbits in characteristic
Alexander Carney, Wade Hindes, Thomas J. Tucker
We prove a characteristic version of a theorem of Silverman on integral points in orbits over number fields and establish a primitive prime divisor theorem for polynomials in t…
A Tits alternative for rational functions
Jason P. Bell, Keping Huang, Wayne Peng +1
We prove an analog of the Tits alternative for rational functions. In particular, we show that if is a finitely generated semigroup of rational functions over the complex numbe…
A question for iterated Galois groups in arithmetic dynamics
Andrew Bridy, John R. Doyle, Dragos Ghioca +2
We formulate a general question regarding the size of the iterated Galois groups associated to an algebraic dynamical system and then we discuss some special cases of our question.
Finite index theorems for iterated Galois groups of unicritical polynomials
Andrew Bridy, John R. Doyle, Dragos Ghioca +2
Let be the function field of a smooth, irreducible curve defined over . Let be of the form where is a powe…