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Cohomology of Formal Modules over Local Fields

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Abstract

The structure of the first Galois cohomology groups for the group of points of a formal module in extensions of local fields is studied. A complete description for unramified extensions and classical formal group laws is obtained.

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Correspondence to S. V. Vostokov or I. I. Nekrasov.

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Russian Text © S. V. Vostokov, I. I. Nekrasov, 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 1, pp. 3–8.

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Vostokov, S.V., Nekrasov, I.I. Cohomology of Formal Modules over Local Fields. Math Notes 105, 3–7 (2019). https://doi.org/10.1134/S0001434619010012

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