Siberian Mathematical Journal

, Volume 31, Issue 5, pp 864–867 | Cite as

On groups in which the centralizer of an involution satisfies min-π

  • P. V. Shumyatskii
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Literature Cited

  1. 1.
    V. P. Shunkov, “On periodic groups with an almost regular involution,” Algebra i Logika,11, No. 4, 470–493 (1972).Google Scholar
  2. 2.
    B. Hartley and Th. Meixner, “Periodic groups in which the centralizer of an involution has bounded order,” J. Algebra,64, No. 1, 285–291 (1980).Google Scholar
  3. 3.
    V. V. Belyaev and N. F. Sesekin, “Periodic groups with an almost regular involutive automorphism,” Stud. Sci. Math. Hung.,17, Nos. 1–4, 137–141 (1982).Google Scholar
  4. 4.
    A. O. Asar, “Locally finite groups with Cernikov centralizers,” J. Algebra,68, No. 1, 170–176 (1981).Google Scholar
  5. 5.
    A. O. Asar, “The solution of a problem of Kegel and Wehrfritz,” Proc. London Math. Soc.,45, No. 2, 337–364 (1982).Google Scholar
  6. 6.
    I. I. Pavlyuk, “On a problem of Kegel and Wehrfritz,” in: The 7th All-Union Symp. on Group Theory, Proceedings [in Russian], Krasnoyarsk (1980), p. 83.Google Scholar
  7. 7.
    B. Hartley, “Periodic locally soluble groups containing an element of prime order with Cernikov centralizer,” Quart. J. Math.,33, No. 131, 309–323 (1982).Google Scholar
  8. 8.
    D. Gorenstein, Finite Groups, Harper & Row, New York (1968).Google Scholar
  9. 9.
    O. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, Amsterdam-London (1973).Google Scholar
  10. 10.
    M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 3rd ed., Nauka, Moscow (1982).Google Scholar
  11. 11.
    D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups. Part I, Springer-Verlag, New York (1972).Google Scholar

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© Plenum Publishing Corporation 1991

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  • P. V. Shumyatskii

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