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An Artin representation $\rho:\textrm{Gal}(\overline{\Q}/\Q)\to \GL(V)$ has finite image $G$, which is the image of the representation. It is the Galois group of a finite extension $K/\Q$ where $K$ is the fixed field of $\ker(\rho)$.

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  • Review status: beta
  • Last edited by John Jones on 2012-06-26 12:50:21
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