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Siberian Mathematical Journal

, Volume 21, Issue 6, pp 890–897 | Cite as

Factorizations of locally finite groups

  • N. S. Chernikov
Article
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Keywords

Finite Group 
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Literature Cited

  1. 1.
    B. Huppert, Endliche Gruppen, Vol. 1, Springer-Verlag, New York (1967).Google Scholar
  2. 2.
    H. Heineken, “Maximale p-Untergruppen lokal endlicher Gruppen”, Arch. Math.,23, No. 4, 351–361 (1972).Google Scholar
  3. 3.
    Kourovskii Notebook [in Russian], Novosibirsk, Izd. Inst. Mat. Sib. Otd. Akad. Nauk SSSR (1967).Google Scholar
  4. 4.
    M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group, Theory [in Russian], Nauka, Moscow (1977).Google Scholar
  5. 5.
    B. Amberg, “Artinian and noetherian factorized groups”, Rend. Sem. Mat. Univ. Padova,55, 105–122 (1976).Google Scholar
  6. 6.
    N. Ito, “Über das Produkt von zwei abelschen Gruppen” Math. Z.,62, No. 4, 400–401 (1955).Google Scholar
  7. 7.
    A. G. Kurosh, Group Theory, Chelsea Publ.Google Scholar
  8. 8.
    M. Hall, Theory of Groups, Macmillan (1961).Google Scholar
  9. 9.
    V. S. Charin, “On the minimality condition for normal subgroups of locally solvable groups”, Mat. Sb.,33, No. 1, 27–36 (1953).Google Scholar
  10. 10.
    V. P. Shunkov, “On locally finite groups with the minimality condition for Abelian subgroups”, Algebra Logika,9, No. 5, 579–615 (1970).Google Scholar
  11. 11.
    T. A. Neeshpapa and N. F. Sesekin, “On some criteria for extremality of locally nilpotent groups”, in: Algebra and Mathematical Analysis [in Russian], Proc. Sverdlovsk State Pedagog. Inst., Vol. 219 (1974), pp. 55–62.Google Scholar
  12. 12.
    Ya. D. Polovitskii, “Locally finite groups in which almost all elements have finite centralizers”, in: Group Theory and Some Problems in Algebra [in Russian], Scientific Proc. Perm' State Univ., Vol. 343 (1975), pp. 56–62.Google Scholar
  13. 13.
    N. N. Myagkova, “On groups of finite rank”, Izv. Akad. Nauk SSSR, Ser. Mat.,13, No. 6, 495–512 (1949).Google Scholar
  14. 14.
    M. I. Kargapolov, “Locally finite groups having normal systems with finite quotients”, Sib. Mat. Zh.,2, No. 6, 853–873 (1962).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

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  • N. S. Chernikov

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