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References
V. V. Belyaev, “Locally finite subgroups with a finite inseparable subgroup,”Sib. Mat. Zh.,34, No.2, 23–41 (1993).
V. V. Belyaev, “Inert subgroups in infinite simple groups,” to appear in:Sib. Mat. Zh.
V. V. Belyaev, “Local characterizations of infinite alternating and Lie-type groups,”Algebra Logika,31, No.4, 369–390 (1992).
V. V. Belyaev, “Locally finite simple groups as a product of two inert subgroups,”Algebra Logika,31, No.4, 360–368 (1992).
V. V. Belyaev, “The structure ofp-groups of finitary transformations,”Algebra Logika,31, No.5, 453–478 (1992).
V. V. Belyaev, “Locally solvable periodic groups of finitary transformations,”Algebra Logika,31, No.6, 569–591 (1992).
V. V. Belyaev, “Semisimple periodic groups of finitary transformations,”Algebra Logika,32, No.1, 17–33 (1993).
V. V. Belyaev, “Locally finite Chevalley groups,” in:Studies in Group Theory [in Russian], Sverdlovsk (1984), pp. 39–50.
D. Gorenstein,Finite Simple Groups, an Introduction to Their Classification, Plenum Press, New York (1982).
H. Wielandt,Unendliche Permutationsgruppen, Vorlesungen, Tübingen (1959–1960).
J. I. Hall, “Infinite alternating groups as finitary linear transformation groups,”J. Algebra,119, No.2, 337–359 (1988).
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Translated fromAlgebra i Logika, Vol. 32, No. 3, pp. 231–250, May–June, 1993.
Translated by A. Morozov
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Belyaev, V.V. Local characterizations of periodic simple groups of finitary transformations. Algebr Logic 32, 123–132 (1993). https://doi.org/10.1007/BF02261690
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DOI: https://doi.org/10.1007/BF02261690