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Zap. Nauchn. Sem. 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

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.

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English version:
Journal of Mathematical Sciences (New York), 2012, 180:3, 269–277

UDC: 512.741
Received: 23.12.2010

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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855676080}


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