Residual irreducibility of compatible systems

We show that if {pl} is a compatible system of absolutely irreducible Galois representations of a number field then the residual representation p is absolutely irreducible for l in a density 1 set of primes. The key technical result is the following theorem: the image of pl is an open subgroup of a...

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Bibliographic Details
Main Authors: Patrikis, S, Snowden, A, Wiles, A
Format: Journal article
Published: Oxford University Press 2016