Skip to main content
Log in

Characterization of layer-finite groups

  • Published:
Algebra and Logic 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. V. I. Senashov, "A characterization of layer-finite groups in the class of periodic groups," Algebra Logika,24, No. 5, 608–617 (1985).

    Google Scholar 

  2. S. N. Chernikov, Groups with Prescribed Properties of a System of Subgroups [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. V. P. Shunkov, "On a class of p-groups," Algebra Logika,9, No. 4, 484–496 (1970).

    Google Scholar 

  4. M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 3rd ed., Nauka, Moscow (1982).

    Google Scholar 

  5. V. P. Shunkov, "On a locally finite group with extremal Sylow p-subgroups for some prime p," Sib. Mat. Zh.,8, No. 1, 213–229 (1967).

    Google Scholar 

  6. T. M. Gagen, "Some questions in the theory of finite groups," in: On the Theory of Finite Groups [Russian translation], in the series Advances in Foreign Science (Novoe v Zarubezhnoi Nauke), Mathematics, No. 16, Mir, Moscow (1979), pp. 13–98.

    Google Scholar 

  7. V. P. Shunkov, "On periodic groups with an almost regular involution," Algebra Logika,11, No. 4, 470–493 (1972).

    Google Scholar 

  8. V. P. Shunkov, "On the cardinality of a periodic group with Abelian 2-subgroups of finite ranks," Algebra Logika,8, No. 5, 601–618 (1969).

    Google Scholar 

  9. V. P. Shunkov, "On locally finite groups of finite rank," Algebra Logika,10, No. 12, 199–225 (1971).

    Google Scholar 

  10. A. G. Kurosh, Theory of Groups [in Russian], 3rd Ed., Nauka, Moscow (1967).

    Google Scholar 

  11. A. N. Ostylovskii and V. P. Shunkov, "On q-biprimitively finite groups with the minimality condition fo q-subgroups," Algebra Logika,14, No. 1, 61–78 (1975).

    Google Scholar 

  12. V. P. Shunkov, "On a generalization of a theorem of Frobenius to periodic groups," Algebra Logika,6, No. 3, 113–124 (1967).

    Google Scholar 

  13. A. N. Izmailov and V. P. Shunkov, "Two criteria for the nonsimplicity of groups with an infinitely isolated subgroup," Algebra Logika,21, No. 6, 647–669 (1982).

    Google Scholar 

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

    Google Scholar 

  15. W. Feit and J. G. Thompson, "Solvability of groups of odd order," Pacific J. Math.,13, No. 3, 775–1029 (1963).

    Google Scholar 

  16. Yu. M. Gorchakov, "On locally normal groups," Dokl. Akad. Nauk SSSR,147, No. 3, 537–539 (1962).

    Google Scholar 

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

    Google Scholar 

  18. D. Gorenstein, Finite Groups, Harper & Row, New York (1968).

    Google Scholar 

  19. V. P. Shunkov, "Mp-groups," Algebra Logika,23, No. 4, 445–475 (1984).

    Google Scholar 

  20. A. I. Sozutov and V. P. Shunkov, "On infinite groups saturated by Frobenius subgroups," Algebra Logika,16, No. 6, 711–735 (1972).

    Google Scholar 

  21. 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. 3, 324–336 (1974).

    Google Scholar 

Download references

Authors

Additional information

Translated from Algebra i Logika, Vol. 28, No. 6, pp. 687–704, November–December, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Senashov, V.I. Characterization of layer-finite groups. Algebra and Logic 28, 449–461 (1989). https://doi.org/10.1007/BF01980236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01980236

Keywords

Navigation