Literature cited
V. P. Shunkov, “A locally finite group with extremal Sylow p-subgroups for some prime p, Sib. Mat. Zh.,8, No. 1, 213–229 (1967).
S. P. Strunkov, “Normalizers and Abelian subgroups of certain classes of groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 3, 657–670 (1967).
E. S. Golod, “Nil algebras and finitely approximable p-groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, No. 2, 273–276 (1964).
V. P. Shunkov, “Sufficient conditions for the existence in a group of infinite locally finite subgroups,” Algebra Logika,15, No. 6, 716–737 (1976).
A. I. Sozutov and V. P. Shunkov, “A generalization of a theorem of Frobenius to infinite groups,” Mat. Sb.,100, No. 4, 495–506 (1976).
M. V. Noskov, “Local finiteness of a class of biprimitively finite groups,” in: Studies in Group Theory [in Russian], L. V. Kirenskii Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, Krasnoyarsk (1975), pp. 24–31.
A. N. Ostylovskii and V. P. Shunkov, “Local finiteness of a class of groups with the mini mal condition,” in: Studies in Group Theory [in Russian], L. V. Kirenskii Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, Krasnoyarsk (1975), pp. 32–48.
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Translated from Matematicheskie Zametki, Vol. 40, No. 6, pp. 722–725, December, 1986.
The author thanks V. P. Shunkov for his interest in this research.
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Ostylovskii, A.N. Periodic groups with countable subgroups. Mathematical Notes of the Academy of Sciences of the USSR 40, 906–907 (1986). https://doi.org/10.1007/BF01158348
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DOI: https://doi.org/10.1007/BF01158348