Skip to main content
SpringerLink
Log in

On finite groups with cyclic Abelian subgroups

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

Abstract

Solvable and minimal unsolvable finite groups with cyclic Abelian subgroups are constructively described.

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. L. Redei, “Das ‘Schiefe Product’ in gruppentheorie mit auwendungen,” Comment. Math. Helv., 20, 225–264 (1947).

    Article  MATH  MathSciNet  Google Scholar 

  2. Yu. A. Gol’fand, “On groups all subgroups of which are special,” Dokl. Akad. Nauk SSSR, 60, No. 8, 1313–1315 (1948).

    MATH  MathSciNet  Google Scholar 

  3. S. S. Levishchenko and N. F. Kuzennyi, Finite Groups with Systems of Dispersible Subgroups [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1997).

    Google Scholar 

  4. M. Hall, The Theory of Groups, Macmillan, New York (1959).

    MATH  Google Scholar 

  5. N. Blackburn, “Generalization of certain elementary theorems on p-groups,” Proc. London Math. Soc., 11, No. 41, 1–22 (1961).

    Article  MATH  MathSciNet  Google Scholar 

  6. B. Huppert, Endliche Gruppen, Berlin, Springer (1967).

    MATH  Google Scholar 

  7. A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  8. I. G. Thompson, “Nonsolvable finite groups all local subgroups of which are solvable,” Bull. Amer. Math. Soc., 74, No. 3, 383–437 (1968).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ukrainian Pedagogic University, Kiev

    S. V. Maznichenko

Authors
  1. S. V. Maznichenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 739–741, May, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maznichenko, S.V. On finite groups with cyclic Abelian subgroups. Ukr Math J 50, 839–841 (1998). https://doi.org/10.1007/BF02514337

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02514337

Keywords

Search

Navigation