Geodesic
Normalizers and Abelian subgroups of certain classes of groups
Izvestiya. Mathematics, Tome 1 (1967) no. 3, pp. 639-650 
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/
@article{IM2_1967_1_3_a6,
     author = {S. P. Strunkov},
     title = {Normalizers and {Abelian} subgroups of certain classes of groups},
     journal = {Izvestiya. Mathematics},
     pages = {639--650},
     year = {1967},
     volume = {1},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a6/}
}
TY  - JOUR
AU  - S. P. Strunkov
TI  - Normalizers and Abelian subgroups of certain classes of groups
JO  - Izvestiya. Mathematics
PY  - 1967
SP  - 639
EP  - 650
VL  - 1
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a6/
LA  - en
ID  - IM2_1967_1_3_a6
ER  - 
%0 Journal Article
%A S. P. Strunkov
%T Normalizers and Abelian subgroups of certain classes of groups
%J Izvestiya. Mathematics
%D 1967
%P 639-650
%V 1
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a6/
%G en
%F IM2_1967_1_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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