Geodesic
Normalizers and Abelian subgroups of certain classes of groups
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 639-650.

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This paper contains some results on the well-known problem of O. Ju. Shmidt and its generalization to groups of arbitrary cardinality. The existence of infinite Abelian subgroups in infinite periodic groups is also studied. 
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S. P. Strunkov. Normalizers and Abelian subgroups of certain classes of groups. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 639-650. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a6/

[1] Strunkov S. P., “Podgruppy periodicheskikh grupp”, Dokl. AN SSSR, 170:2 (1966), 279–281 | MR | Zbl

[2] Aleksandrov P. S., Vvedenie v obschuyu teoriyu mnozhestv i funktsii, M., L., 1948

[3] Xoll M., Teoriya grupp, M., 1962

[4] Feit W., Tompson J., “Solvability of groups of odd order”, Pacif. J. Math., 13:3 (1963), 775–1029 | MR | Zbl

[5] Golod E. S., “O nil-algebrakh i finitno-approksimiruemykh $p$-gruppakh”, Izv. AN SSSR. Ser. matem., 28 (1964), 273–276 | MR | Zbl

[6] Kurosh A. G., Teoriya grupp, M., 1953 | MR

[7] Shmidt O. Yu., Izbrannye trudy, t. I, M., 1959

[8] Mezhdunarodnyi matematicheskii kongress v Amsterdame, M., 1961

[9] Chunikhin S. A., “O silovskikh svoistvakh konechnykh grupp”, Dokl. AN SSSR, 73:1 (1950), 29–32 | Zbl

[10] Higman G., “Finite groups in which every element has prime power order”, J. Lond. Math. Soc., 32:3 (1957), 335–342 | DOI | MR | Zbl

[11] Hall P., Kulatilaka C. R., “A property of locally finite groups”, J. Lond. Math. Soc., 39 (1964), 235–239 | DOI | MR

[12] Kargapolov M. I., “O probleme O. Yu. Shmidta”, Sib. matem. zh., IV:1 (1963), 232–235 | MR

[13] Strunkov S. P., “O probleme O. Yu. Shmidta”, Sib. matem. zh., VII:2 (1966), 476–479 | MR