On elements of finite order in free groups of certain varieties
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 115-126 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper is concerned with free groups of certain varieties. Bibliography: 12 titles.
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Yu. V. Kuz'min. On elements of finite order in free groups of certain varieties. Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 115-126. http://geodesic.mathdoc.fr/item/SM_1984_47_1_a6/

[1] Hall P., “Finiteness conditions for soluble groups”, Proc. London Math. Soc., 4 (1954), 419–436 | DOI | MR | Zbl

[2] Hall P., “The Frattini subgroup of finitly generated groups”, Proc. London Math. Soc., 11 (1961), 327–352 | DOI | MR | Zbl

[3] Hartly B., “Augmentation powers of locally finite groups”, Proc. London Math. Soc., 1 (1976), 1–24 | DOI | MR

[4] Vaughan-Lee M., “Centre-by-metabelian Lie algebras”, J. Austral Math. Soc., 15 (1973), 259–264 | DOI | MR | Zbl

[5] Gupta K., “The free centre-by-metabelian groups”, J. Austral. Math. Soc., 16 (1973), 294–299 | DOI | MR | Zbl

[6] Kuzmin Yu. V., “Svobodnye tsentralno-metabelevy gruppy, algebry Li i $\mathscr D$-gruppy”, Izv. AN SSSR. Seriya matem., 41:1 (1977), 3–33 | MR | Zbl

[7] Shmelkin A. L., “Spleteniya i mnogoobraziya grupp”, Izv. AN SSSR. Seriya matem., 29 (1965), 149–170

[8] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 | MR

[9] Maklein S., Gomologiya, Mir, M., 1966

[10] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960

[11] Lyndon R., “Cohomology theory of groups with a single defining relation”, Annals of Math., 52 (1950), 650–665 | DOI | MR | Zbl

[12] Fischer J., Karrass A., Solitar D., “On one-relator groups having elements of finite order”, Proc. Amer. Math. Soc., 37 (1972), 297–301 | DOI | MR