Lutz filtration as a Galois module

Abstract

In the paper, we consider a formal module F(M_L) and its Lutz filtration M_L ⊃ M_L² ⊃ M_L³ ⊃..., where K is a finite extension of the field of p-adic numbers Q_p, L/K is a normal extension without higher ramification with Galois group G = Gal(L/K), F(X, Y) is a formal group over a ring of integers O_K with finite height. We study its structure as Z[G]-modules. The main result is contained in Theorem 4.