Skip to main content
Log in

On the isomorphic imbedding of locally nilpotent groups in locally finite algebras

  • Notes
  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. A. I. Mal'tsev, “On the isomorphic representation of infinite groups by matrices,” Matem. Sb.,8, No. 3, 405–422 (1940).

    Google Scholar 

  2. A. I. Mal'tsev, “On a class of homogeneous spaces,” Izv. AN SSSR, Ser. Mat.,13, No. 1, 9–32 (1949).

    Google Scholar 

  3. S. A. Jennings, “The group ring of a class of infinite nilpotent groups,” Canad. J. Math.,7, No. 2, 169–187 (1965).

    Google Scholar 

  4. G. Birkhoff, “Representations of Lie algebras and Lie groups by matrices,” Ann. Math.,38, 526–532 (1937).

    Google Scholar 

  5. A. Learner, “The embedding of a class of polycyclic groups,” Proc. London Math. Soc.,12, No. 47, 496–510 (1962).

    Google Scholar 

  6. R. C. Swan, “Representations of polycyclic groups,” Proc. Amer. Math. Soc., No. 5, 185–186 (1967).

    Google Scholar 

  7. P. Hall, “On the finiteness of certain solvable groups,” Proc. London Math. Soc.,5, No. 9, 595–622 (1959).

    Google Scholar 

  8. S. Amitsur, “Groups with representations of bounded degree,” Illinois J. Math.,5, No. 2, 198–205 (1961).

    Google Scholar 

  9. V. G. Vilyatser, “Stable groups of automorphisms,” Dokl. Akad. Nauk SSSR,131, No. 4, 728–730 (1960).

    Google Scholar 

  10. B. I. Plotkin, Groups of Automorphisms of Algebraic, Systems [in Russian], Fizmatgiz, Moscow (1966).

    Google Scholar 

  11. M. P. Sedneva, “Some questions of infinite linear groups,” Izv. Akad. Nauk Latv. SSR, Ser. Fiz.-Tekh., No. 6, 59–62 (1965).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 1, pp. 226–231, January–February, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levich, E.M. On the isomorphic imbedding of locally nilpotent groups in locally finite algebras. Sib Math J 12, 165–168 (1971). https://doi.org/10.1007/BF00969156

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969156

Keywords

Navigation