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Literature cited
J. H. Walter, “The B-conjecture; characterization of Chevalley groups,” Mem. Am. Math. Soc.,61, No. 345, 1–196 (1986).
J. H. Walter, “The B-conjecture: 2-components in finite simple groups,” in: The Santa Cruz Conf. Finite Groups (Santa Cruz, Calif., 1979), Proc. Symp. Pure Math., AMS, Providence (1980), pp. 57–66.
N. S. Chernikov, “On infinite locally finite groups,” in: The 8th All-Union Symp. in Group theory (Sumy, May 25–27, 1982), Proceedings [in Russian], Inst. Mat. AN Ukr. SSR, Kiev (1982), pp. 135–136.
D. Gorenstein. Finite Simple Groups. Introduction to Their Classification [Russian translation], Mir, Moscow (1985).
O. H. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, North-Holland, Amsterdam-London (1973).
S. Thomas, “The classification of simple periodic linear groups,” Arch. Math.,41, No. 2, 103–116 (1983).
A. V. Borovik, “Embeddings of finite Chevalley groups and periodic linear groups,” Sib. Math. Zh.,24, No. 6, 26–35 (1983).
V. V. Belyaev, “Locally finite Chevalley groups,” in: Studies in Group Theory [in Russian], UNTs AN SSSR, Sverdlovsk (1984), pp. 39–50.
B. Hartley and G. Shute, “Monomorphisms and direct limits of finite groups of Lie type,” Q. J. Math.,35, No. 137, 49–71 (1984).
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Translated from Ikrainskii Matematicheskii Zhurnal, Vol. 40, No. 5, pp. 668–670, September-October, 1988.
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Chernikov, N.S. Infinite locally finite simple groups with a nontrivial kernel of the centralizer of an elementary Abelian 2-subgroup. Ukr Math J 40, 570–572 (1988). https://doi.org/10.1007/BF01057547
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DOI: https://doi.org/10.1007/BF01057547