THEOREM. Let A be the ring of integers in a field K of finite degree over the field Q, of p-adic numbers, K an algebraic closure of K, and G the Galois group of K over K. Let F be a one-parameter formal group defined over A, of finite height, that has an f EEndA(F) such that f'(0) is a prime element of A, and let 0 be a G-endomorphism of the group A(F) of points of finite order of F. Then there is a gEEndA(F) such that for every XEEA(F), 5(X) =0gX.