  Let p be an odd prime, let S be a finite set of primes q congruent to 1 mod p
but not mod p^2 and let G_S be the Galois group of the maximal p-extension of Q
un-ramified outside of S. If r is a continuous homomorphism of G_S into
GL_2(Z_p) then under certain conditions on the linking numbers of S we show
that r=1 if its reduction mod p is 1. We also show that the reduction of r mod
p is 1 if r can be put in triangular form mod p^3.
