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Structure of locally graded CDN (]-groups

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Abstract

We introduce the notion of a CDN(]-group G, namely, a group such that, for any pair of its subgroups A and B such that A is a proper nonmaximal subgroup of B, there exists a normal subgroup N of G and A < N ≤ B. Thirteen types of non-Dedekind nilpotent groups and 9 types of nonnilpotent locally graded groups of this kind are described.

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References

  1. M. M. Semko, “Structure of locally graded nonnilpotent CDN []-groups,” Ukr. Mat. Zh., 49, No. 6, 789–798 (1997).

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Authors and Affiliations

  1. Ukrainian Financial-Economical Institute, Irpen

    M. M. Semko

Authors
  1. M. M. Semko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1532–1536, November, 1998.

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Semko, M.M. Structure of locally graded CDN (]-groups. Ukr Math J 50, 1750–1754 (1998). https://doi.org/10.1007/BF02524481

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  • DOI: https://doi.org/10.1007/BF02524481

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