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If $\rho:\Gal(\overline\Q/\Q)\to\GL_n(\C)$ is an Artin representation, a prime $p$ is unramified if it is not ramified.

Equivalently, a prime is unramified if the inertia subgroup for a prime above $p$ in the Artin field of $\rho$ is contained in the kernel of $\rho$.

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• Review status: reviewed
• Last edited by Alina Bucur on 2019-05-02 23:33:35
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