Skip to main content
Log in

Locally nilpotent groups with a weak minimality condition for normal 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

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. D. I. Zaitsev, “On the theory of minimax groups,” Ukr. Mat. Zh.,23, 652–660 (1971).

    Google Scholar 

  2. D. I. Zaitsev, “Groups that satisfy a weak minimality condition,” Ukr. Mat. Zh.,20, 472–482 (1968).

    Google Scholar 

  3. R. Baer, “Polyminimaxgruppen,” Math. Ann.,175, 1–43 (1968).

    Google Scholar 

  4. D. I. Zaitsev, “On groups that satisfy a weak minimality condition,” Mat. Sb.,78, 325–331 (1969).

    Google Scholar 

  5. D. I. Zaitsev, “Groups that satisfy a weak minimality condition for non-Abelian sub-groups,” Ukr. Mat. Zh.,23, 661–665 (1971).

    Google Scholar 

  6. L. A. Kurdachenko, “Groups that satisfy weak minimality and maximality conditions for subnormal subgroups,” Mat. Zametki,29, 19–30 (1981).

    Google Scholar 

  7. L. A. Kurdachenko, “Groups that satisfy weak minimality and maximality conditions for normal subgroups,” Sib. Mat. Zh.,20, 1068–1076 (1979).

    Google Scholar 

  8. V. S. Charin, “On a minimality condition for normal divisors of locally soluble groups,” Mat. Sb.,33, 27–36 (1953).

    Google Scholar 

  9. D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Parts 1, 2, Springer-Verlag, Berlin-Heidelberg-New York (1972).

    Google Scholar 

  10. J. S. Wilson, “Some properties of groups inherited by normal subgroups of finite index,” Math. Z.,114, 19–21 (1970).

    Google Scholar 

  11. D. I. Zaitsev, “Infinitely irreducible normal subgroups,” in: Structure of Groups and Properties of Subgroups [in Russian], Inst. Mat., Academy of Sciences of the Ukr. SSR, Kiev (1978), pp. 17–38.

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 99–106, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kurdachenko, L.A. Locally nilpotent groups with a weak minimality condition for normal subgroups. Sib Math J 25, 589–594 (1984). https://doi.org/10.1007/BF00968897

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968897

Keywords

Navigation