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ZD-coradical of aKI-group

  • Applied Topics in Mathematical Statistics and Mathematical Cybernetics
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Abstract

We consider existence and completability of the ZD-coradical of a group in which all the subgroups of the commutant are invariant.

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References

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

  2. B. I. Plotkin, Automorphism Groups of Algebraic Systems [in Russian], Moscow (1966).

  3. I. Ya. Subbotin, "Finite groups in which every subgroup of the commutant is invariant," Mat. Zametki,12, No. 6, 739–746 (1972).

    Google Scholar 

  4. I. Ya. Subbotin, "Infinite finitely generated groups in which every subgroup of the commutant is invariant," Ukr. Mat. Zh.,17, No. 3, 406–411 (1975).

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  5. I. Ya. Subbotin, "On infinite groups in which every subgroup of the commutant is invariant," in: Constructive Description of Groups with Given Properties of Subgroups [in Russian], Kiev (1980), pp. 92–107.

  6. I. Ya. Subbotin, "InfiniteKT-groups with a Chernikov periodic part of the commutant," in: Studies of Groups with Given Properties of the System of Subgroups [in Russian], Kiev (1981), pp. 79–93.

  7. I. Ya. Subbotin, "On hypercentral coradical of theKI-group," Ukr. Mat. Zh.,4, No. 5, 650–654 (1982).

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  8. S. N. Chernikov, Groups with Given Properties of the System of Subgroups [in Russian], Moscow (1980).

  9. D. J. S. Robinson, "Groups in which normality is a transitive relation," Proc. Cambr. Phil. Soc.,60, No. 21, 21–38 (1964).

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Authors
  1. I. Ya. Subbotin
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Additional information

Kiev Polytechnical Institute. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 120–124, 1991.

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Subbotin, I.Y. ZD-coradical of aKI-group. J Math Sci 72, 3149–3151 (1994). https://doi.org/10.1007/BF01259488

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  • DOI: https://doi.org/10.1007/BF01259488

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