Skip to main content
SpringerLink
Log in

Group Structures on Algebraic Varieties

  • MATHEMATICS
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

We explore to what extent the group variety of an algebraic group determines its group structure.

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

REFERENCES

  1. P. F. Baum and W. Browder, “The cohomology of quotients of classical groups,” Topology 3, 305–336 (1965).

    Google Scholar 

  2. M. Brion, “Some structure theorems for algebraic groups,” Proceedings of Symposium on Pure Mathematics (Am. Math. Soc., Providence, RI, 2017), Vol. 94, pp. 53–126.

  3. M. Lazard, “Sur le nilpotence de certains groupes algébriques,” CRAS Paris 241, 1687–1689 (1955).

    Google Scholar 

  4. M. Rosenlicht, “Toroidal algebraic groups,” Proc. Am. Math. Soc. 12, 984–988 (1961).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

    V. L. Popov

  2. National Research University “High School of Economics”, Moscow, Russia

    V. L. Popov

Authors
  1. V. L. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. L. Popov.

Ethics declarations

The author declares that he has no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Popov, V.L. Group Structures on Algebraic Varieties. Dokl. Math. 104, 264–266 (2021). https://doi.org/10.1134/S1064562421050100

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562421050100

Keywords:

Search

Navigation