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

**History:**(expand/hide all)

- 2019-05-02 23:33:35 by Alina Bucur (Reviewed)
- 2016-06-06 19:19:03 by John Jones (Reviewed)

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