An analog of Lubin–Tate formal groups for higher local fields of characteristic 0 is considered. The modules formed by the roots of the automorphisms of these formal groups are studied. The corresponding field extensions are constructed and their Galois groups are calculated.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 500, 2021, pp. 30–36.
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Vostokov, S.V., Leonova, E.O. Lubin–Tate Formal Modules Over Higher Local Fields. J Math Sci 272, 362–366 (2023). https://doi.org/10.1007/s10958-023-06430-0
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DOI: https://doi.org/10.1007/s10958-023-06430-0