Ophelia Adams

collaborators

2 papers

math.NT2025

Semiconjugacy and Self-Similar Subgroups of pfIMGs

Ophelia Adams

The profinite iterated monodromy group (pfIMG) is a self-similar group associated to dynamical systems. We show that its proper open self-similar subgroups correspond to highly rig…

math.NT2025

Profinite Iterated Monodromy Groups of Unicritical Polynomials

Ophelia Adams, Trevor Hyde

Let $f (x) = a x^{d} + b \in K [x]$ be a unicritical polynomial with degree $d \geq 2$ which is coprime to $char K$ . We provide an explicit presentation for the profinite itera…