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The dimension of a mod-$\ell$ Galois representation $\rho: \Gal_K\to G(\F_{\ell})$ is the dimension of the $\F_{\ell}$-vector space on which $G(\F_{\ell})$ acts.

$1$-dimensional mod-$\ell$ Galois representations are also called Galois characters.

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  • Last edited by John Cremona on 2023-03-24 10:51:42
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