Skip to main content
Log in

Structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup

  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. G. M. Romalis, “On metahamiltonian groups,” Usp. Mat. Nauk,17, No. 6, 228 (1962).

    Google Scholar 

  2. G. M. Romalis and N. F. Sesekin, “On metahamiltonian groups. I,” Mat. Zap. Ural. Univ.,5, No. 3, 45–49 (1966).

    Google Scholar 

  3. N. F. Sesekin and G. M. Romalis, “On metahamiltonian groups. II,” Mat. Zap. Ural. Univ.,6, No. 5, 50–53 (1968).

    Google Scholar 

  4. G. M. Romalis and N. F. Sesekin, “On metahamiltonian groups. III,” Mat. Zap. Ural. Univ.,7, No. 3, 195–199 (1970).

    Google Scholar 

  5. S. N. Chernikov, “Infinite nonabelian groups in which all infinite nonabelian subgroups are invariant,” Ukr. Mat. Zh.,23, No. 5, 604–628 (1971).

    Google Scholar 

  6. V. Nagrebetskii, “Finite nonnilpotent groups in which each nonabelian subgroup is invariant,” Mat. Zap. Ural. Univ.,6, No. 1, 80–88 (1967).

    Google Scholar 

  7. A. A. Makhnev, “On finite metahamiltonian groups,” in: All-Union Algebraic Symposium (Gomel, 1975). Proceedings [in Russian], Math. Inst., Acad. of Sciences Belorussian SSR, Minsk (1975), p. 39.

    Google Scholar 

  8. A. A. Makhnev, “On finite metahamiltonian groups,” Mat. Zap. Ural. Univ.,10, No. 1, 60–75 (1976).

    Google Scholar 

  9. N. F. Kuzennyi and N. N. Semko, “The structure of solvable nonnilpotent metahamiltonian groups,” Mat. Zametki,34, No. 2, 179–188 (1983).

    Google Scholar 

  10. N. N. Semko and N. F. Kuzennyi, “The structure of locally steplike nonperiodic metahamiltonian groups,” in: The 17th All-Union Algebraic Conference (Minsk, 1983). Proceedings [in Russian], Math. Inst., Acad. of Sciences Belorussian SSR, Minsk (1983), 4.2, pp. 214–215.

    Google Scholar 

  11. N. N. Semko and N. F. Kuzennyi, The Structure of Metacyclic Metahamiltonian Groups (Method Recommendations) [in Russian], Kiev Pedagog. Inst., Kiev (1983).

    Google Scholar 

  12. N. N. Semko and N. F. Kuzennyi, “On the structure of infinite nilpotent period metahamiltonian groups,” in: The Structure of Groups and Their Subgroup Characterization [in Russian], Math. Inst., Acad. of Sciences Ukr. SSR, Kiev (1984), pp. 101–111.

    Google Scholar 

  13. N. F. Kuzennyi and N. N. Semko, “The structure of solvable metahamiltonian groups,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 2, 6–9 (1985).

    Google Scholar 

  14. L. Redei, “Das ‘Schiefe Produkt’ in Gruppentheorie mit Anwendungen,” Comment. Math. Helv.,20, 225–264 (1947).

    Google Scholar 

  15. M. Hall, Group Theory [Russian translation], IL, Moscow (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 180–185, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuzennyi, N.F., Semko, N.N. Structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup. Ukr Math J 39, 149–153 (1987). https://doi.org/10.1007/BF01057495

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057495

Keywords

Navigation