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arXiv:math/0701517 [math.NT]AbstractReferencesReviewsResources

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

Luis Dieulefait

Published 2007-01-18Version 1

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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