Lubin–Tate Formal Modules Over Higher Local Fields

Lubin–Tate Formal Modules Over Higher Local Fields

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-05, Vol.272 (3), p.362-366
Hauptverfasser: Vostokov, S. V., Leonova, E. O.
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Mathematics
Mathematics and Statistics
Modules
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06430-0