Skip to main content
Log in

Norm series for Honda formal groups

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

In the present paper, norm series for Honda formal groups are studied. The Steinberg relation for the classical Hilbert symbol is generalized to Honda formal groups. Necessary and sufficient conditions for a series to satisfy the generalized Steinberg relation are obtained. In the paper, such series are called norm series. Bibliography: 8 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. B. Vostokov and I. B. Fesenko, “On one property of the Hilbert pairing,” Mat. Zam., 43, No. 3, 393–400 (1988).

    MathSciNet  Google Scholar 

  2. V. A. Kolyvagin, “Formal groups and the norm residue symbol,” Izv. AN SSSR, Ser. Mat., 43, No. 5, 1054–1120 (1979).

    MathSciNet  MATH  Google Scholar 

  3. S. B. Vostokov and R. Perlis, “Norm series for Lubin–Tate formal group,” Zap. Nauchn. Semin. POMI, 281, 105–127 (2001).

    Google Scholar 

  4. O. V. Demchenko, “New relationships between Lubin–Tate formal groups and Honda formal groups,” Algebra Analiz, 10, No. 5, 77–84 (1998).

    MathSciNet  Google Scholar 

  5. S. B. Vostokov and O. V. Demchecnko, “An explicit formula of the Hilbert pairing for Honda formal groups,” Zap. Nauchn. Semin. POMI, 272, 86–128 (2000).

    Google Scholar 

  6. O. V. Demchenko, “Honda formal groups: the arithmetic of the group of points,” Algebra Analiz, 12, No. 1, 132–149 (2000).

    MathSciNet  Google Scholar 

  7. S. Lang, Algebra [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  8. T. Honda, “On the theory of commutative formal groups,” J. Math. Soc. Japan, 22, 213–243 (1970).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. S. Afanas’eva.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 388, 2011, pp. 5–16.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Afanas’eva, S.S., Pak, G.K. Norm series for Honda formal groups. J Math Sci 183, 577–583 (2012). https://doi.org/10.1007/s10958-012-0825-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-012-0825-0

Keywords

Navigation