English

Three-Dimensional Solvable Artin Representations Ramified at One Prime

Number Theory 2014-02-26 v2

Abstract

We classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of \Q\Q with solvable image ramified at one prime by using the classification of the finite irreducible subgroups of \PGL3(\C)\PGL_3(\C). This allows us to bound the number of such representations with given Artin conductor.

Keywords

Cite

@article{arxiv.1208.4636,
  title  = {Three-Dimensional Solvable Artin Representations Ramified at One Prime},
  author = {Jonah Leshin},
  journal= {arXiv preprint arXiv:1208.4636},
  year   = {2014}
}
R2 v1 2026-06-21T21:54:14.206Z