Skip to main content
Log in

On the universal norms of formal groups

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. J. -P. Serre, Corps. Locaux, Hermann, Paris (1962).

    Google Scholar 

  2. J. -P. Serre, “Sur les corps locaux à corps résiduel algébriquement clos,” Bull. Soc. Math. France,89, 105–154 (1961).

    Google Scholar 

  3. J. Tate, “WC-groups over p-acic fields,” Sem. Bourbaki,10, No. 156, Paris (1957).

  4. I. R. Shafarevich, “Group of principal homogeneous algebraic varieties,” Dokl. Akad. Nauk SSSR,124, No. 1 (1959).

  5. O. N. Vvedenskii, “On local ‘fields of classes’ of elliptic curves,” Izv. Akad. Nauk SSSR, Ser. matem.,37, No. 1 (1973).

  6. O. N. Vvedenskii, “On ‘universal norms’ of formal groups defined over the ring of integers of a local field,” Izv. Akad. Nauk SSSR, Ser. Matem.,37, No. 4 (1973).

  7. A. Fröhlich, Formal Groups, Lecture Notes in Mathematics, Vol. 74, Springer Verlag, New York (1968).

    Google Scholar 

  8. B. Mazur, “Rational points of Abelian varieties with values in towers of number fields,” Inventiones Mathematicae,18, Nos. 3–4, 183–266 (1972).

    Google Scholar 

  9. M. Hazewinkel, Abelian Extensions of Local Fields, Groningen (1969).

  10. P. A. Medvedev, “Order and index of an elliptic curve,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, No. 5 (1966).

  11. J. -P. Serre, Lie Algebras and Lie Groups, W. A. Benjamin, New York (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 1, pp. 97–100, January–February, 1975.

In conclusion I express heartiest gratitude to O. N. Vvedenskii under whose guidance this article has been written.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Konovalov, G.T. On the universal norms of formal groups. Ukr Math J 27, 78–81 (1975). https://doi.org/10.1007/BF01085846

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085846

Keywords

Navigation