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Product of groups of finite rank

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Literature Cited

  1. N. F. Sesekin, "Product of finitely connected Abelian groups," Sib. Mat. Zh.,9, No. 6, 1427–1430 (1968).

    Google Scholar 

  2. N. Ito, "Uber das Produkt von zwei abelschen Gruppen," Math. Z.,6, No. 4, 400–401 (1955).

    Google Scholar 

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

    Google Scholar 

  4. D. I. Zaitsev, "Abelian factorizations of infinite groups," in: All-Union Symposium on Group Theory [in Russian], Cherkassy (1978), pp. 23–24.

  5. M. I. Kargapolov, "Nilpotent and solvable groups," Dokl. Akad. Nauk SSSR,127, No. 6, 1164–1166 (1969).

    Google Scholar 

  6. V. P. Shunkov, "Locally finite groups of finite rank," Algebra Logika,10, No. 2, 199–225 (1971).

    Google Scholar 

  7. S. N. Chernikov, "Supplementability of SylowΠ-subgroups in certain classes of groups," Mat. Sb.,37, No. 3, 557–566 (1955).

    Google Scholar 

  8. B. Huppert, Endliche Gruppen. I, Springer-Verlag, Berlin-Heidelberg-New York (1967).

    Google Scholar 

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

    Google Scholar 

  10. D. I. Zaitsev, "Product of groups," in: All-Union Symposium on Group Theory [in Russian], Shushenskoe (1980).

  11. B. I. Plotkin, "Radical groups," Mat. Sb.,37, No. 3, 507–526 (1955).

    Google Scholar 

  12. S. A. Chunikhin, Subgroups of Finite Groups [in Russian], Nauka i Tekhnika, Minsk (1964).

    Google Scholar 

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Translated from Algebra i Logika, Vol. 20, No. 3, pp. 315–329, May–June, 1981.

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Chernikov, N.S. Product of groups of finite rank. Algebra and Logic 20, 210–219 (1981). https://doi.org/10.1007/BF01669021

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  • DOI: https://doi.org/10.1007/BF01669021

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