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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 365, Pages 236–253 (Mi znsl3476)  
On construction of formal groups with a given distinguished homomorphism

E. V. Ferens-Sorotskiy

St.-Petersburg State University
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Abstract: It is known from Lubin–Tate theory that a Lubin–Tate formal group can be constructed by its distinguished isogeny, which can be taken to be an arbitrary power series (with a few restrictions). Analogous statement is also known for Honda formal groups. In the given article similar statement is proved in detail for $p$-typical formal groups in so-called small ramification case. It is also proved that a distinguished homomorphism, in general, can not be taken to be a polynomial. Bibl. – 6 titles.
Received: 12.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 4, Pages 587–596
DOI: https://doi.org/10.1007/s10958-009-9586-9
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: E. V. Ferens-Sorotskiy, “On construction of formal groups with a given distinguished homomorphism”, Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, POMI, St. Petersburg, 2009, 236–253; J. Math. Sci. (N. Y.), 161:4 (2009), 587–596
Citation in format AMSBIB
\Bibitem{Fer09}
\by E.~V.~Ferens-Sorotskiy
\paper On construction of formal groups with a~given distinguished homomorphism
\inbook Problems in the theory of representations of algebras and groups. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 365
\pages 236--253
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3476}
\zmath{https://zbmath.org/?q=an:1181.14052}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 4
\pages 587--596
\crossref{https://doi.org/10.1007/s10958-009-9586-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349600239}
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