A control theorem for the images of Galois actions on certain infinite families of modular forms

Luis Dieulefait

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A control theorem for the images of Galois actions on certain infinite families of modular forms

Luis Dieulefait

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Abstract

In this letter we show that for certain infinite families of modular forms of growing level it is possible to have a control result for the exceptional primes of the attached Galois representations. As an application, a uniform version of a result of Wiese on Galois realizations of linear groups over finite fields of arbitrarily large exponent is proved.

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Luis Dieulefait. 2007-01-18. A control theorem for the images of Galois actions on certain infinite families of modular forms. https://arxiv.org/abs/math/0701517

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