Let K be a finite extension of the p-adic field Qpand let F(X,Y) and G(X,Y) be one-dimensional formal grouplaws over the ring of integers OK of K.Let φ(X) be a homomorphism from F to Gwhich is defined over the ring of integersOCp of the completion Cp of Qp alg.In this paper we prove that if ker(φ) is finite thenthere is a discretely valued subfield L⊂Cpsuch that φ(X) is defined over OL.
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