Skip to main content
Log in

On groups factorized by finitely many subgroups

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We prove that every group factorizable into a product of finitely many pairwise permutable central-by-finite minimax subgroups is a soluble-by-finite group.

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.

References

  1. M. J. Tomkinson, “Product of Abelian subgroups”,Arch. Math.,47, 107–112 (1986).

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Amberg, S. Franciosi, and F. de Giovanni, “Products of groups”, in:Oxford Mathematical Monographs, Clarendon Press, Oxford (1992).

    Google Scholar 

  3. N. S. Chernikov, “Product of almost Abelian groups”,Ukr. Math. Zh.,33, 110–112 (1981).

    Article  MATH  Google Scholar 

  4. H. Heineken and J. C. Lennox, “A note on products of Abelian groups”,Arch. Math.,41, 498–501 (1983).

    Article  MATH  MathSciNet  Google Scholar 

  5. D. J. S. Robinson,Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972).

    Google Scholar 

  6. S. Franciosi and F. de Giovanni, “On normal subgroups of factorized groups”,Ric. Mat.,39, 159–167 (1990).

    MATH  Google Scholar 

  7. J. S. Wilson, “On products of soluble groups of finite rank”,Comment. Math. Helv.,60, 337–353 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  8. N. S. Chernikov,Groups Which are Products of Permutable Subgroups [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  9. Ya. P. Sysak,Radical Modules over Groups of Finite Rank [in Russian], Preprint No. 89/18, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

    Google Scholar 

  10. J. S. Wilson, “Soluble groups which are products of groups of finite rank”,J. London Math. Soc.,2, 405–419 (1989).

    Article  Google Scholar 

Download references

Authors

Additional information

Dep. Math. and Appl., Univ. of Napoli, Italy. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 410–412, March, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Landolfi, T. On groups factorized by finitely many subgroups. Ukr Math J 51, 455–457 (1999). https://doi.org/10.1007/BF02592482

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02592482

Keywords

Navigation