Skip to main content
SpringerLink
Log in

Structure of periodic met-abelian meta-hamiltonian groups with elementary commutant of rank 2

  • 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

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

Literature cited

  1. G. M. Romalis, “On meta-Hamiltonian groups,” Usp. Mat. Nauk, No. 6, 228 (1962).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  4. G. M. Romalis and N. F. Sesekin, “On meta-Hamiltonian groups. III,” Mat. Zap. Ural. Univ.,7, N. 3, 195–199 (1970).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  7. A. A. Makhnev, “On finite meta-Hamiltonian groups,” in: All-Union Algebra Symposium (Gomel, 1975), Abstracts of Reports, Institute of Mathematics, Academy of Sciences of the BSSR, Minsk (1975), p. 39.

    Google Scholar 

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

    Google Scholar 

  9. N. F. Kuzennyi and N. N. Semko, “Structure of solvable nonnilpotent meta-Hamiltonian groups,” Mat. Zametki,34, No. 2, 179–188 (1983).

    Google Scholar 

  10. N. N. Semko and N. F. Kuzennyi, “Structure of locally graduated nonperiodic meta-Hamiltonian groups,” in: XVII All-Union Algebra Conference (Minsk, 1983), Abstracts of Reports, Part 2, Institute of Mathematics, Academy of Sciences of the BSSR, Minsk (1983), pp. 214–215.

    Google Scholar 

  11. N. N. Semko and N. F. Kuzennyi, “Structure of metacyclic meta-Hamiltonian groups (methodical recommendations),” Kiev Pedagogic Institute, Kiev (1983).

    Google Scholar 

  12. N. N. Semko and N. F. Kuzennyi, “On the structure of infinite nilpotent periodic meta-Hamiltonian groups,” in: Structure of Groups and Characterization by Subgroups [in Russian], Institute of Mathematics, Academy of Sciences of the UkrSSR, Kiev (1984), pp. 101–111.

    Google Scholar 

  13. N. F. Kuzennyi and N. N. Semko, “Structure of Solvable meta-Hamiltonian groups,” Dokl. Akad. Nauk UkrSSR, 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. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], Nauka, Moscow (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Gorsistemotekhnika NPO, Kiev

    N. F. Kuzennyi & N. N. Semko

Authors
  1. N. F. Kuzennyi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. N. Semko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 743–750, November–December, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuzennyi, N.F., Semko, N.N. Structure of periodic met-abelian meta-hamiltonian groups with elementary commutant of rank 2. Ukr Math J 40, 627–633 (1988). https://doi.org/10.1007/BF01057181

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057181

Search

Navigation