Skip to main content
SpringerLink
Log in

On linear groups generated by two long root subgroups

  • Published:
Siberian Mathematical Journal 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

References

  1. A. E. Zalesskiî, “Linear groups,” Uspekhi Mat. Nauk,36, No. 5, 57–107 (1981).

    Google Scholar 

  2. Z. I. Borevich, “On subgroups of linear groups rich of transvections,” Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Steklov. (LOMI),75, 22–31 (1978).

    Google Scholar 

  3. Ya. N. Nuzhin, “On intermediate groups between the groups of Lie type over various fields,” Algebra i Logika,22, No. 5, 525–541 (1983).

    Google Scholar 

  4. A. I. Shkuratskiî, “On subgroups of a symplectic group over an algebraically closed field,” Algebra i Logica,22, No. 4, 466–473 (1983).

    Google Scholar 

  5. O. King, “On subgroups of the special linear group containing the special unitary group,” Geom. Dedicata,19, 297–310 (1985).

    Google Scholar 

  6. E. L. Bashkirov, “On linear groups containing the special unitary group of nonzero findex,” submitted to VINITI on August 7, 1985, No. 5897.

  7. E. L. Bashkirov, “On linear groups containing a symplectic group,” submitted to VINITI on April 11, 1986, No. 2616.

  8. E. L. Bashkirov, “On subgroups of the groupSL 2 (K) over an infinite fieldK,” submitted to VINITI on November 19, 1984, No. 7369.

  9. N. A. Vavilov, “On the geometry of long root subgroups in Chevalley groups,” Vestnik Leningrad. Univ. Mat. Mekh. Astronom.,1, No. 1, 8–11 (1988).

    Google Scholar 

  10. W. M. Cantor, “Subgroups of classical groups generated by long root elements,” Trans. Amer. Math. Soc.,248, No. 2, 347–379 (1979).

    Google Scholar 

  11. B. S. Stark, “Some subgroups of Ω(V) generated by groups of root type 1,” Illinois J. Math.,17, No. 4, 584–607 (1973).

    Google Scholar 

  12. Shangrhi Li, “Maximal subgroups inPΩ(n, F, Q) with root subgroups,” Sci. China Ser. A,28, No. 8, 826–838 (1985).

    Google Scholar 

  13. D. Gorenstein, Finite Groups, Harper and Row, New York (1968).

    Google Scholar 

Download references

Authors
  1. E. L. Bashkirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Minsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 2, pp. 15–22, March–April, 1993.

Translated by N. S. Dairbekov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bashkirov, E.L. On linear groups generated by two long root subgroups. Sib Math J 34, 210–217 (1993). https://doi.org/10.1007/BF00970946

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970946

Keywords

Search

Navigation