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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 129–143 (Mi znsl3910)  
Eisenstein's reciprocity law for Lubin–Tate formal groups

S. V. Vostokov, M. A. Ivanov

St. Petersburg State University, St. Petersburg, Russia
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Abstract: In the present paper, we study a generalized norm residue symbol on Lubin–Tate formal groups and research a triviality for this symbol, when the first argument locate in the definition field of formal group.
We use explicit formulas for the generalized norm residue symbol $(\ ,\,)_{F,n}$, herewith requirement, consisting of a bound to representing in the form uniformizing's degrees is removed. Bibl. 6 titles.
Key words and phrases: formal groups, Hilbert symbol.
Received: 23.12.2010
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 269–277
DOI: https://doi.org/10.1007/s10958-011-0643-9
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: S. V. Vostokov, M. A. Ivanov, “Eisenstein's reciprocity law for Lubin–Tate formal groups”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 129–143; J. Math. Sci. (N. Y.), 180:3 (2012), 269–277
Citation in format AMSBIB
\Bibitem{VosIva11}
\by S.~V.~Vostokov, M.~A.~Ivanov
\paper Eisenstein's reciprocity law for Lubin--Tate formal groups
\inbook Problems in the theory of representations of algebras and groups. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 386
\pages 129--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3910}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 180
\issue 3
\pages 269--277
\crossref{https://doi.org/10.1007/s10958-011-0643-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855676080}
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  • https://www.mathnet.ru/eng/znsl/v386/p129
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