Three-Dimensional Solvable Artin Representations Ramified at One Prime
classification
🧮 math.NT
keywords
artinirreducibleprimeramifiedrepresentationssolvablethree-dimensionalallows
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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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