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

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

2007-01-18

arxiv.org/abs/math/0701517v1

Mathematics

Number Theory

Scientific paper

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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