Geodesic
The structure of formal modules as Galois modules in cyclic unramified $p$-extensions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 37-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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The structure of the formal module $F(\mathfrak{M})$ for a chain of finite extensions $M/L/K$, where $M/L$ is an unramified $p$-extension, is studied. The triviality of the first Galois cohomology of a formal module for an unramified extension for any degree of a prime ideal is shown. The presentation of the investigated formal module is constructed in terms of generators and relations. As an application of the main result, the structure of a formal module for generalized Lubin–Tate formal groups is obtained. 
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S. V. Vostokov; V. M. Polyakov. The structure of formal modules as Galois modules in cyclic unramified $p$-extensions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 37-50. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a3/

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