show · artin.unramified_primes all knowls · up · search:

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 $\rho$.

Knowl status:
  • Review status: reviewed
  • Last edited by Alina Bucur on 2019-05-02 23:33:35
Referred to by:
History: (expand/hide all) Differences (show/hide)