Skip to main content
SpringerLink
Log in

Genus of elements of orthogonal groups

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

Abstract

It is proved that the number of classes in the genus of an element of an orthogonal group can take arbitrarily large values.

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

Similar content being viewed by others

Literature cited

  1. V. P. Platonov, “On the problem of genus in arithmetic groups. Dokl. Akad. Nauk SSSR,200. No. 4, 793–796 (1971).

    Google Scholar 

  2. V. P. Platonov, “Groups of ideals and integer representations,” Izv. Akad. Nauk SSSR, Ser. Matem.,33, No. 1, 155–162 (1969).

    Google Scholar 

  3. V. P. Platonov, “Problem of the strong approximation and Kneser-Tietz hypothesis for algebra groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,33, No. 6, 1211–1219 (1969).

    Google Scholar 

  4. Z. I. Borevich and I. R. Shafarevich, Theory of Numbers [in Russian], Moscow (1972).

Download references

Author information

Authors and Affiliations

  1. Belorussian State University, USSR

    G. V. Matveev

Authors
  1. G. V. Matveev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 13, No. 5, pp. 695–702, May, 1973.

The author an gratful to V. P. platonov for a number of essential remarks during performance of the present research

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matveev, G.V. Genus of elements of orthogonal groups. Mathematical Notes of the Academy of Sciences of the USSR 13, 416–419 (1973). https://doi.org/10.1007/BF01147470

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01147470

Keywords

Search

Navigation