Skip to main content
SpringerLink
Log in

Infinite soluble groups with engel cycles; A finiteness condition

  • Published:
Mathematische Zeitschrift 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. Baer, R.: Überauflösbare Gruppen. Abh. Math. Sem. Univ. Hamburg23, 11–28 (1959)

    Google Scholar 

  2. Baer, R.: Finitely valued commutator sequences. J. Austral. Math. Soc.17, 35–80 (1974)

    Google Scholar 

  3. Brandl, R.: Engel cycles in finite groups. Arch. Math. (Basel) (to appear)

  4. Gruenberg, K.W.: Two theorems on Engel groups, Math. Proc. Cambridge Phil. Soc.49, 377–380 (1953)

    Google Scholar 

  5. Gupta, N.D.: Groups with Engel-like conditions. Arch. Math.17, 193–199 (1966)

    Google Scholar 

  6. Gupta, N.D., Heineken, H.: Groups with a two-variable commutator identity. Math. Z.95, 276–287 (1967)

    Google Scholar 

  7. Hall, P.: The Edmonton notes on nilpotent groups. Notes of Lectures given at the Canadian Mathematical Congress (Edmonton 1957). Queen Mary College Mathematics Notes, London 1969

  8. Hirsch, K.A.: On infinite soluble groups III. Proc. London Math. Soc. (2)49, 184–194 (1947)

    Google Scholar 

  9. Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  10. Lennox, J.: Bigenetic properties in hyper-(abelian or finite) groups. J. Austral. Math. Soc.16, 309–315 (1973)

    Google Scholar 

  11. Robinson, D.J.S.: On finitely generated soluble groups. Proc. London Math. Soc. (3)15, 508–516 (1965)

    Google Scholar 

  12. Robinson, D.J.S.: Finiteness conditions and generalized soluble groups I. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Am Hubland 12, D-8700, Würzburg, Federal Republic of Germany

    Rolf Brandl

Authors
  1. Rolf Brandl
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brandl, R. Infinite soluble groups with engel cycles; A finiteness condition. Math Z 182, 259–264 (1983). https://doi.org/10.1007/BF01175628

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01175628

Keywords

Search

Navigation