Skip to main content
SpringerLink
Log in

Triviality of the reduced Whitehead group over certain fields

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. V. P. Platonov, “On the Tannaka-Artin problem,” Dokl. Akad. Nauk SSSR,221, No. 5, 1038–1041 (1975).

    Google Scholar 

  2. V. P. Platonov, “The Tannaka-Artin problem and groups of projective conorms,” Dokl. Akad. Nauk SSSR,222, No. 6, 1299–1302 (1975).

    Google Scholar 

  3. V. P. Platonov, “The Tannaka-Artin problem and reduced K-theory,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 2, 227–261 (1976).

    Google Scholar 

  4. V. A. Lipnitskii, “The Tannaka-Artin problem over special fields,” Dokl. Akad. Nauk SSSR,228, No. 1, 26–29 (1976).

    Google Scholar 

  5. M. Knebusch, “On algebraic curves over real closed fields,” Math. Z.,150, No. 1, 49–70 (1976).

    Google Scholar 

  6. E. Witt, “Zerlegung reeller algebraischer Funktionen in Quadrate. Schiefkörpern über reellem Funktionenkörper,” J. Reine Angew. Math.,171, 4–11 (1934).

    Google Scholar 

  7. J. W. S. Cassels and A. Frolich (editors), Algebraic Number Theory, Thompson, Washington, D.C. (1967).

    Google Scholar 

  8. S. Lang, “Some applications of the local uniformization theorem,” Am. J. Math.,76, No. 2, 362–373 (1954).

    Google Scholar 

  9. J. T. Knight, “Riemann surfaces of field extensions,” Proc. Cambridge Phil. Soc.,65, 635–650 (1969).

    Google Scholar 

  10. V. I. Yanchevskii, “Division rings over Henselian discretely valued fields and the Tannaka-Artin problem,” Dokl. Akad. Nauk SSSR,226, No. 2, 281–283 (1976).

    Google Scholar 

  11. V. P. Platonov and V. I. Yanchevskii, “On Harder's conjecture,” Dokl. Akad. Nauk SSSR,221, No. 4, 784–787 (1975).

    Google Scholar 

  12. E. Witt, “Schiefkörper über discret bewerteten Körpern,” J. Reine Angew. Math.,176, 153–156 (1937).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Belorussian State University, USSR

    V. A. Lipnitskii

Authors
  1. V. A. Lipnitskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 24, No. 5, pp. 629–640, November, 1978.

The author would like to thank V. P. Platonov for his unfailing interest in this research.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lipnitskii, V.A. Triviality of the reduced Whitehead group over certain fields. Mathematical Notes of the Academy of Sciences of the USSR 24, 836–841 (1978). https://doi.org/10.1007/BF01141540

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01141540

Keywords

Search

Navigation