Resumen de Large images of reducible Galois representations
Given a reducible Galois representation ¯¯ρ:GQ→GL(Fq) we show that there exists an irreducible deformation ρ:G→GL2(W[[T1,T…,Tr,]) of ¯¯¯ ramified at infinitely many primes, where W denotes the ring of Witt vectors of Fq. This is a modification of Ramakrishna's result for the irreducible case.
