Three-Dimensional Solvable Artin Representations Ramified at One Prime
arXiv:1208.4636 · doi:10.1112/blms/bdt072
Abstract
We classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of $\Q$ with solvable image ramified at one prime by using the classification of the finite irreducible subgroups of $\PGL_3(\C)$. This allows us to bound the number of such representations with given Artin conductor.