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arXiv · 1208.4636

Three-Dimensional Solvable Artin Representations Ramified at One Prime

Jonah Leshin
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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.

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Jonah Leshin. 2013-07-22. Three-Dimensional Solvable Artin Representations Ramified at One Prime. https://doi.org/10.1112/blms%2Fbdt072

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