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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122218In 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.Number TheoryA control theorem for the images of Galois actions on certain infinite families of modular formstext