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The Artin field is a number field associated to an Artin representation $\rho:\mathrm{Gal}(\overline{\Q}/\Q)\to\GL(V)$ by being the smallest Galois extension $K/\mathbb{Q}$ such that $\rho$ factors through $\mathrm{Gal}(K/\Q)$.

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• Review status: reviewed
• Last edited by John Cremona on 2015-08-11 17:01:16
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