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On Galois representations with large image

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 نشر من قبل Christian Maire
 تاريخ النشر 2021
  مجال البحث
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 تأليف Christian Maire




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For every prime number $pgeq 3$ and every integer $mgeq 1$, we prove the existence of a continuous Galois representation $rho: G_mathbb{Q} rightarrow Gl_m(mathbb{Z}_p)$ which has open image and is unramified outside ${p,infty}$ (resp. outside ${2,p,infty}$) when $pequiv 3$ mod $4$ (resp. $p equiv 1$ mod $4$).

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