Skip to main content
SpringerLink
Log in

Periodic groups with the primary minimality condition for certain systems of subgroups

  • Published:
Siberian Mathematical Journal 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

Literature Cited

  1. S. N. Chernikov, “Finiteness conditions in the general theory of groups,” Usp. Mat. Nauk,14, No. 5, 45–96 (1959).

    Google Scholar 

  2. Ya. D. Polovitskii, “Layer-extremal groups,” Mat. Sb.,56, No. 1, 95–106 (1962).

    Google Scholar 

  3. I. I. Pavlyuk, A. A. Shafiro, and V. P. Shunkov, “On locally finite groups with the primary minimality condition for subgroups,” Algebra Logika,13, No. 4, 324–336 (1974).

    Google Scholar 

  4. E. I. Sedova, “On groups with Abelian subgroups of finite ranks,” Algebra Logika,21, No. 3, 321–343 (1982).

    Google Scholar 

  5. I. I. Pavlyuk, “On binary-finite groups with finiteness conditions for locally solvable subgroups,” Dep. VINITI, No. 893-82, March 2, 1982, Krasnoyarsk Agricultural Institute, Krasnoyarsk (1982).

    Google Scholar 

  6. V. P. Shunkov, “On locally finite groups with the minimality condition for Abelian subgroups,” Algebra Logika,9, No. 5, 579–615 (1970).

    Google Scholar 

  7. V. P. Shunkov, “On the minimality problem for locally finite groups,” Algebra Logika,9, No. 2, 220–248 (1970).

    Google Scholar 

  8. S. N. Chernikov, “On periodic groups of automorphisms of extremal groups,” Mat. Zametki,4, No. 1, 91–96 (1968).

    Google Scholar 

  9. A. A. Shafiro, “On a characterization of generalized Chernikov groups,” Dep. VINITI, No. 2765-80, July 1, 1980, Siberian Technological Institute, Krasnoyarsk (1980).

    Google Scholar 

  10. S. P. Strunkov, “Normalizers and Abelian subgroups of certain classes of groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, 657–670 (1967).

    Google Scholar 

  11. M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  12. Yu. M. Gorchakov, “On infinite Frobenius groups,” Algebra Logika,4, No. 1, 15–29 (1965).

    Google Scholar 

Download references

Authors
  1. A. A. Shafiro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 160–165, July–August, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shafiro, A.A. Periodic groups with the primary minimality condition for certain systems of subgroups. Sib Math J 31, 666–670 (1990). https://doi.org/10.1007/BF00970639

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970639

Keywords

Search

Navigation