Lutz filtration as a Galois module
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In the paper, we consider a formal module F(ML) and its Lutz filtration ML ⊃ ML2 ⊃ ML3 ⊃..., where K is a finite extension of the field of p-adic numbers Qp, 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 OK with finite height. We study its structure as Z[G]-modules. The main result is contained in Theorem 4.
Keywords and phrasesLutz filtration formal group law
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- 1.S. V. Vostokov, Zap. Nauchn. Sem. LOMI 160 (8), 182–192 (1987).Google Scholar