Skip to main content
SpringerLink
Log in

The Engel Length of the Product of Engel Elements

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

Considering the relation between the Engel lengths of elements and their product, we give a counterexample to Question 11.88 in the “Kourovka Notebook” [1].

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. The Kourovka Notebook. Unsolved Problems in Group Theory. 14th ed., Inst. Mat. (Novosibirsk), Novosibirsk (1999).

  2. Plotkin B. I., Groups of Automorphisms of Algebraic Systems, Wolters-Noordhoff, Groningen (1972).

    Google Scholar 

  3. Plotkin B. I., “Remarks on Engel groups and Engel elements in the groups and some their generalizations,” Izv. Ural. State Univ., No. 36, 153–166 (2005).

  4. Kargapolov M. I. and Merzljakov Ju. I., Fundamentals of the Theory of Groups, Springer-Verlag, New York; Heidelberg; Berlin (1979) (Graduate Texts in Mathematics, 62).

    Google Scholar 

  5. Kurosh A. G., The Theory of Groups, Chelsea, New York (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Irkutsk Institute for Improvement of Professional Teaching Skills, Irkutsk, Russia

    L. V. Dolbak

Authors
  1. L. V. Dolbak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00320).

__________

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 69–72, January–February, 2006.

Original Russian Text Copyright © 2006 Dolbak L. V.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dolbak, L.V. The Engel Length of the Product of Engel Elements. Sib Math J 47, 55–57 (2006). https://doi.org/10.1007/s11202-006-0006-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-006-0006-9

Keywords

Search

Navigation