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Properties of the normal closure of the center of an FC-subgroup B of group G=AB with Abelian subgroup A

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Literature cited

  1. L. S. Kazarin, “On the product of finite groups” Dokl. Akad. Nauk SSSR,269, No. 3, 528–531 (1983).

    Google Scholar 

  2. D. I. Zaitsev, “Itô's theorem and products of groups,” Mat. Zametki,33, No. 6, 807–818 (1983).

    Google Scholar 

  3. N. S. Chernikov, “On a problem of Sh. S. Kemkhadze,” Soobshch. Akad. Nauk GSSR,105, No. 3, 481–484 (1982).

    Google Scholar 

  4. N. S. Chernikov, “Products of groups of finite free rank,” in: Groups and Systems of Their Subgroups [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1983), pp. 42–56.

    Google Scholar 

  5. D. I. Zaitsev, “Tests for nonsimplicity of products of groups,” in: Abstracts of Reports, XVI All-Union Algebra Conf. (Leningrad, September 22–25, 1981) [in Russian], Leningrad Otd. Mat. Inst. Akad. Nauk SSSR, Leningrad (1981), Part 1, pp. 52–53.

    Google Scholar 

  6. N. S. Chernikov, “Complementation of Sylow II-subgroups in certain classes of groups,” Mat. Sb.,37, No. 3, 557–566 (1955).

    Google Scholar 

  7. O. H. Kegel, “On the solvability of some factorized linear groups,” I11. J. Math.,9, No. 3, 535–547 (1965).

    Google Scholar 

  8. B. Amberg, “Artinian and Noetherian factorized groups,” Rend. Sem. Mat. Univ. Padova,55, 105–122 (1976).

    Google Scholar 

  9. S. A. Chunikhin, “On the existence of subgroups of a finite group,” in: Proceedings of a Seminar on Group Theory [in Russian], GONTI, Moscow-Leningrad (1938), pp. 106–125.

    Google Scholar 

  10. N. S. Chernikov, “Infinite groups factorized by nilpotent subgroups,” Dokl. Akad. Nauk SSSR,252, No. 1, 57–60 (1980).

    Google Scholar 

  11. N. S. Chernikov, “On the product of almost Abelian groups,” Ukr. Mat. Zh.,33, No. 1, 136–138 (1981).

    Google Scholar 

  12. L. S. Kazarin, “On groups with factorization,” Dokl. Akad-Nauk SSSR,256, No. 1, 26–29 (1981).

    Google Scholar 

  13. L. S. Kasarin, “On the product of an Abelian group and a group with nontrivial center,” VINITI, No. 3565–81, Novosibirsk (1981).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 3, pp. 364–368, May–June, 1986.

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Chernikov, N.S. Properties of the normal closure of the center of an FC-subgroup B of group G=AB with Abelian subgroup A. Ukr Math J 38, 315–319 (1986). https://doi.org/10.1007/BF01056831

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  • DOI: https://doi.org/10.1007/BF01056831

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