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An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups

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Abstract

In the present paper an explicit formula is derived for the Hilbert symbol on the relative formal Lubin-Tate groups. This formula is a generalization of the Vostokov formula for the ordinary Lubin-Take groups. Bibliography:3 titles.

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References

  1. S. V. Vostokov, “The norm pairing on formal modules,”Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 4, 765–794 (1979).

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  2. S. V. Vostokov, “Symbols on formal groups,”Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 5, 985–1014 (1981).

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  3. E. de Shalit, “Relative Lubin-Tate groups,”Proc. Am. Math. Soc.,95, No. 1, 1–4 (1985).

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Authors
  1. S. V. Vostokov
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  2. O. V. Demchenko
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 227, 1995, pp. 41–44.

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Vostokov, S.V., Demchenko, O.V. An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups. J Math Sci 89, 1105–1107 (1998). https://doi.org/10.1007/BF02355855

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  • DOI: https://doi.org/10.1007/BF02355855

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