Loading Web-Font TeX/Math/Italic
| Register
\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

14. Inverse Arboreal Galois Problem (IAGP)


    1. Add remark

      Problem 14.1.

      [Faber] Work over \mathbb{C}(x) for a start. Given a subgroup G\subseteq \text{Aut}(regularly rooted d-ary tree). Does there exist a polynomial f(z)\in K[z] with G as its image of Galois representation? Interpret and solve.


        • Add remark

          Problem 14.2.

          Variation of problem 14.1: ask again only in a dynatomic setting. Formulate and solve.

              Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.