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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 30–36 (Mi znsl7064)  
Lubin–Tate formal modules over higher local fields

S. V. Vostokova, E. O. Leonovab

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: An analogue of the Lubin–Tate formal groups for the 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 computed.
Key words and phrases: higher local fields, Lubin-Tate formal groups.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1620
Received: 11.12.2020
Document Type: Article
UDC: 512.625
Language: Russian
Citation: S. V. Vostokov, E. O. Leonova, “Lubin–Tate formal modules over higher local fields”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 30–36
Citation in format AMSBIB
\Bibitem{VosLeo21}
\by S.~V.~Vostokov, E.~O.~Leonova
\paper Lubin--Tate formal modules over higher local fields
\inbook Problems in the theory of representations of algebras and groups. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 500
\pages 30--36
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7064}
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