Skip to main content
Log in

Formal Modules for Generalized Lubin–Tate Groups

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

The structure, endomorphism ring, and point group of a generalized Lubin–Tate formal group are studied. The primary elements are examined and an explicit formula for the generalized Hilbert symbol is proved. Bibliography: 10 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. M. Hazewinkel, Formal Groups and Applications, Academic Press, New York (1978).

    MATH  Google Scholar 

  2. J. Lubin and J. Tate, “Formal complex multiplication in local fields,” Ann. Math., 81, No. 2, 380–387 (1985).

    Article  MathSciNet  MATH  Google Scholar 

  3. S. V. Vostokov, “Norm pairing in formal modules,” Izv. AN SSSR, Ser. Mat., 45, No. 5, 985–1014 (1981).

  4. S. V. Vostokov, “The Hilbert symbol for Lubin–Tate formal groups. I,” Zap. Nauchn. Semin. POMI, 114, 77–95 (1982).

    MathSciNet  MATH  Google Scholar 

  5. S. V. Vostokov and I. B. Fesenko, “The Hilbert symbol for Lubin–Tate formal groups. II,” Zap. Nauchn. Semin. POMI, 132, 85–96 (1983).

    MathSciNet  MATH  Google Scholar 

  6. S. V. Vostokov, “Symbols on formal groups,” Izv. AN SSSR, Ser. Mat., 45, No. 5, 9–23 (1981).

  7. S. V. Vostokov, “An explicit form of the reciprocity law,” Izv. AN SSSR, Ser. Mat., 42, No. 6, 1288–1321 (1978).

  8. K. Iwasawa, Local Class Field Theory [in Russian], Mir, Moscow (1983).

  9. A. I. Madunts, “On the convergence of series over local fields,” Trudy St. Peterburg. Mat. Obshch., 3, 260–282 (1995).

    MathSciNet  MATH  Google Scholar 

  10. I. R. Shafarevich, “A general reciprocity law,” Mat. Sb., 26(68), No. 1, 113–146 (1950).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. I. Madunts.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 435, 2015, pp. 95–112.

Translated by I. Ponomarenko.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Madunts, A.I., Vostokova, R.P. Formal Modules for Generalized Lubin–Tate Groups. J Math Sci 219, 553–564 (2016). https://doi.org/10.1007/s10958-016-3127-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-016-3127-0

Navigation