Skip to main content
Log in

The hypercentral coradical of a KI-group

  • Brief Communications
  • 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

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

Instant access to the full article PDF.

Literature cited

  1. H. Lermann, “Endliche Gruppen, deren Kommutatorgruppen Ordnung eine Primzahl p ≠ 2 ist,” Schriftenr. Math. Inst. Inst. Angew. Math. Univ. Berlin,4, 183–203 (1939).

    Google Scholar 

  2. V. V. Sergeichuk, “Finite p-groups with commutator subgroup of order,*” in: XII All-Union Algebra Colloquium [in Russian], Vol. 1, Sverdlovsk (1973).

  3. R. I. Miech, “On p-groups with a cyclic commutator subgroup,” J. Aust. Math. Soc., 20 (A), 178–198 (1975).

    Google Scholar 

  4. N. F. Sesekin and A. I. Starostin, “On one class of periodic groups,” Usp. Mat. Nauk,9, No. 4, 225–228 (1954).

    Google Scholar 

  5. W. Gashiitz, “Gruppen in deren das Normalteilers ien transitiv ist,” J. Reine Angew. Math.,198, 87–92 (1957).

    Google Scholar 

  6. D. S. Robinson, “Groups in which normality is a transitive relation,” Proc. Cambridge Philos. Soc.,60, 21–38 (1964).

    Google Scholar 

  7. I. N. Abramovskii, “Locally generalized Hamiltonian groups,” Sib. Mat. Zh.,7, No. 3, 481–485 (1968).

    Google Scholar 

  8. I. Ya. Subbotin, “Finite groups in which each subgroup of the commutator subgroup is invariant,” Mat. Zametki,12, No. 6, 739–745 (1972).

    Google Scholar 

  9. I. Ya. Subbotin, “Finite p-groups in which each subgroup of the commutator subgroup is invariant,” Dopov. Akad. Nauk Ukr. SSR,12, 1072–1074 (1974).

    Google Scholar 

  10. I. Ya. Subbotin, “Infinite finitely generated groups in which each subgroup of the commutator subgroup is invariant,” Ukr. Mat. Zh.,17, No. 3, 406–411 (1975).

    Google Scholar 

  11. I. Ya. Subbotin, “On infinite groups in which each subgroup of the commutator subgroup is invariant,” in: Constructive Description of Groups with Given Properties of Subgroups [in Russian], Kiev (1980), pp. 92–107.

  12. A. G. Kurosh, Group Theory, Chelsea Publ. (1979).

  13. S. N. Chernikov, “To the theory of complete groups,” Mat. Sb.,22, 319–348 (1948).

    Google Scholar 

  14. D. I. Zaitsev, “Hypercyclic extensions of Abelian groups,” in: Groups Determined by Properties of the System of Subgroups [in Russian], Kiev (1979), pp. 16–37.

  15. V. P. Shunkov, “On groups decomposable into a uniform product of their π-subgroups,” Dokl. Akad. Nauk SSSR,154, 542–544 (1964).

    Google Scholar 

  16. S. N. Chernikov, “On complementability of Sylow T-subgroups in some classes of infinite groups,” Mat. Sb.,37, 557–566 (1955).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 5, pp. 650–654, September–October, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Subbotin, I.Y. The hypercentral coradical of a KI-group. Ukr Math J 34, 532–536 (1982). https://doi.org/10.1007/BF01093149

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093149

Navigation