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On Sylow subgroups of Shunkov periodic groups

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Abstract

We study the structure of Sylow 2-subgroups in Shunkov periodic groups with almost layer-finite normalizers of finite nontrivial subgroups.

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References

  1. S. N. Chernikov, “On the theory of infinite p-groups,” Dokl. Akad. Nauk SSSR, No. 1, 71–74 (1945).

  2. S. I. Adyan, Burnside Problem and Identities in Groups [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. A. Yu. Ol’shanskii, Geometry of Defining Relations in a Group [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  4. V. I. Senashov, “Almost layer finiteness of the periodic part of a group without involutions,” Diskr. Mat., 14, No. 4, 133–152 (2002).

    MATH  MathSciNet  Google Scholar 

  5. V. I. Senashov, “Sufficient conditions for the almost layer finiteness of groups,” Ukr. Mat. Zh., 51, No. 4, 472–485 (1999).

    MATH  MathSciNet  Google Scholar 

  6. V. I. Senashov and V. P. Shunkov, “Almost layer finiteness of the periodic part of a group without involutions,” Diskr. Mat., 15, No. 3, 91–104 (2003).

    MathSciNet  Google Scholar 

  7. V. P. Shunkov, “On the problem of minimality for locally finite groups,” Alg. Log., 9, No. 2, 220–248 (1970).

    MATH  MathSciNet  Google Scholar 

  8. V. P. Shunkov, On Imbedding of Primary Elements in a Group [in Russian], Nauka, Novosibirsk (1992).

    Google Scholar 

  9. M. Hall, The Theory of Groups, Macmillan, New York (1959).

    Google Scholar 

  10. A. G. Kurosh, Group Theory [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  11. V. P. Shunkov, “On periodic groups with some conditions of finiteness,” Dokl. Akad. Nauk SSSR, 195, No. 6, 1290–1293 (1970).

    MATH  MathSciNet  Google Scholar 

  12. O. H. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, North-Holland, Amsterdam (1973).

    Google Scholar 

  13. B. Hartley, “Finite groups of automorphisms of locally soluble groups,” J. Algebra, 57, No. 1, 242–257 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  14. D. Gorenstein, Finite Groups, Harper and Row, New York (1968).

    Google Scholar 

  15. G. A. Malan’ina, “Semidirect products of cyclic groups,” Dokl. Akad. Nauk SSSR, 132, 762–765 (1960).

    MathSciNet  Google Scholar 

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1548–1556, November, 2005.

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Senashov, V.I. On Sylow subgroups of Shunkov periodic groups. Ukr Math J 57, 1809–1817 (2005). https://doi.org/10.1007/s11253-006-0030-8

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