Skip to main content
SpringerLink
Log in

Relations in groups of exponent 8

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

This note is a continuation of the paper of the same title by the second author. Basic relations are given for the Burnside group B(8, 2) up to the tenth term (inclusive) of a nilpotent filtration. No nontrivial relations within the limits of this degree of accuracy are discovered. An error in the previous paper is pointed out. The structure of a maximal metabelian group of exponent 8 with two generators is elucidated.

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. A. I. Skopin, “Relations in groups of exponent 8,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,57, 129–169 (1976).

    Google Scholar 

  2. A. I. Skopin, “On certain finite groups,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,31, 115–139 (1973).

    Google Scholar 

Download references

Authors
  1. V. P. Lobych
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Skopin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 64, pp. 92–94, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lobych, V.P., Skopin, A.I. Relations in groups of exponent 8. J Math Sci 17, 1775–1777 (1981). https://doi.org/10.1007/BF01091764

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01091764

Keywords

Search

Navigation