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Lutz filtration as a Galois module

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Abstract

In the paper, we consider a formal module F(M L ) and its Lutz filtration M L ⊃ M 2 L ⊃ M 3 L ⊃..., 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.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskaya nab. 7–9, 199034, St. Petersburg, Russia

    S. Vostokov & I. Nekrasov

  2. Pervaya Krasnoarmeiskaya ul. 1, St. Petersburg, 190005, Russia

    R. Vostokova

Authors
  1. S. Vostokov
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  2. I. Nekrasov
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  3. R. Vostokova
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Correspondence to S. Vostokov.

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Submitted by M. M. Arslanov

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Vostokov, S., Nekrasov, I. & Vostokova, R. Lutz filtration as a Galois module. Lobachevskii J Math 37, 214–221 (2016). https://doi.org/10.1134/S1995080216020153

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  • DOI: https://doi.org/10.1134/S1995080216020153

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