Skip to main content
SpringerLink
Log in

Estimating the cardinality of a group by the cardinality of the set of uncomplemented subgroups

  • Published:
Mathematical notes of the Academy of Sciences of the USSR 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, Groups with Given Properties of the Subgroup System [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. S. N. Chernikov, “Groups with systems of complemented subgroups,” Mat. Sb.,35, No. 1, 93–128 (1954).

    Google Scholar 

  3. L. Fuchs, Infinite Abelian Groups, Vol. 2, Academic Press (1973).

  4. Yu. M. Gorchakov and V. A. Sheriev, “Finite groups all noninvariant subgroups of which are complemented,” Sib. Mat. Zh.,6, No. 6, 1234–1253 (1965).

    Google Scholar 

  5. V. A. Sheriev, “Groups with complemented noninvariant subgroups,” Sib. Mat. Zh.,8, No. 4, 892–912 (1967).

    Google Scholar 

  6. V. A. Sheriev, “Finite 2-groups with complemented noninvariant subgroups,” Sib. Mat. Zh., 8, No. 1, 195–212 (1967).

    Google Scholar 

  7. A. G. Kurosh, Group Theory, Chelsea Publ.

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

    Google Scholar 

  9. B. Huppert, Endliche Gruppen. I, Springer-Verlag, Berlin (1967).

    Google Scholar 

  10. Yu. M. Gorchakov, “On primary factorizable groups,” Ukr. Mat. Zh.,14, No. 1, 3–9 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kuban State University, USSR

    V. A. Gavrilin & Yu. M. Gorchakov

Authors
  1. V. A. Gavrilin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. M. Gorchakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 36, No. 4, pp. 465–472, October, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gavrilin, V.A., Gorchakov, Y.M. Estimating the cardinality of a group by the cardinality of the set of uncomplemented subgroups. Mathematical Notes of the Academy of Sciences of the USSR 36, 729–732 (1984). https://doi.org/10.1007/BF01156459

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01156459

Search

Navigation