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On the structure of CDN[]-groups

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Abstract

We describe nilpotent non-Dedekind CDN[]-groups.

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References

  1. V. V. Pylaev and N. F. Kuzennyi, “Finite groups with a dense system of normal subgroups,” in: Abstracts of the XIV All-Union Algebraic Conference [in Russian], Institute of Mathematics, Academy of Sciences of USSR, Siberian Division, Novosibirsk (1977), pp. 57–58.

    Google Scholar 

  2. V. V. Pylaev and N. F. Kuzennyi, Finite Nonnilpotent Groups with a Generalized Dense System of Invariant Subgroups [in Russian], Dep. at VINITI, No. 19-25-80, Kiev (1980).

    Google Scholar 

  3. M. M. Semko, On the Structure of Groups with Conditions of Denseness of Normality for Subgroups [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1997).

    Google Scholar 

  4. M. M. Semko, “Structure of locally graded nonnilpotent CDN[]-groups,” Ukr. Mat. Zh., 49, No. 6, 789–798 (1977).

    MathSciNet  Google Scholar 

  5. M. M. Semko, “On the structure of CDN[]-groups with elementary commutant of rank two,” Ukr. Mat. Zh., 49, No. 10, 1396–1403 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  6. M. M. Semko, “Structure of one class of groups with conditions of denseness of normality for subgroups,” Ukr. Mat. Zh., 49, No. 8, 1148–1151 (1997).

    Article  MathSciNet  Google Scholar 

  7. A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow (1967).

    Google Scholar 

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

    MATH  Google Scholar 

  9. M. F. Kuzennyi and M. M. Semko, Meta-Hamiltonian Groups and Their Generalization [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1996).

    Google Scholar 

  10. A. A. Makhnev, “On finite meta-Hamiltonian groups,” Mat. Zap. Ural. Univ., 10, 60–76 (1976).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Pedagogics, Ukrainian Academy of Pedagogic Sciences, Kiev

    M. M. Semko

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  1. M. M. Semko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1250–1261, September, 1998.

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Semko, M.M. On the structure of CDN[]-groups. Ukr Math J 50, 1431–1441 (1998). https://doi.org/10.1007/BF02525249

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  • DOI: https://doi.org/10.1007/BF02525249

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