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Congruences between modular forms and lowering the level mod $ℓ^{n}$

Luis Dieulefait; Xavier Taixés i Ventosa — 2009

Journal de Théorie des Nombres de Bordeaux

In this article we study the behavior of inertia groups for modular Galois mod $ℓ^{n}$ representations and in some cases we give a generalization of Ribet’s lowering the level result (cf. []).

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