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On the construction of CDN[]-groups with elementary commutant of rank two

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Abstract

We describe certain CDN-groups of order p n with elementary commutant of rank two.

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References

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

    Google Scholar 

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

  3. M. M. Semko, On the Construction of Groups with Conditions of Density and Normality for Subgroups [in Russian], Dep. at UkrDNTB No. 743-Uk-96, Kiev (1996).

  4. M. M. Semko, On the Construction of Groups with Generalized Density of Normality for Subgroups [in Russian], Dep. at UkrDNTB No. 2340-Uk-96, Kiev (1996).

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

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

  8. B. Huppert, Endliche Gruppen I, Springer, Berlin (1967).

    MATH  Google Scholar 

  9. N. Blackburn, “Generalization of certain elementary theorems on p-groups,” Proc. London Math. Soc., 11, No. 41, 1–22 (1961).

    Article  MATH  MathSciNet  Google Scholar 

  10. M. F. Kuzennyi and M. M. Semko, “On groups which are closed to metacyclic groups,” Ukr. Mat. Zh., 48, No. 6, 782–790 (1996).

    Article  MathSciNet  Google Scholar 

  11. 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 

  12. M. F. Kuzennyi and S. S. Levishchenko, “On the problem of decomposability of groups,” in: Complex Analysis, Algebra, and Topology [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990), pp. 62–68.

    Google Scholar 

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Authors
  1. M. M. Semko
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Additional information

Scientific-Research Pedagogic Institute, Ukrainian Pedagogic Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1396–1403, October, 1997

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Semko, M.M. On the construction of CDN[]-groups with elementary commutant of rank two. Ukr Math J 49, 1570–1577 (1997). https://doi.org/10.1007/BF02487442

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  • DOI: https://doi.org/10.1007/BF02487442

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