Geodesic
An algebraically closed groups
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 49-51.

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Establish the solubility in any algebraically closed group $G$ of each equation of the form $$ w(x_1, \ldots , x_n)\, = \, g, $$ where $w(x_1, \ldots , x_n)$ — nonempty irreducible group word unknown $x_1,\dots, x_n$, and $g$ — arbitrary element of group $G$. Bibliography: 4 titles.
Keywords: group, algebraically closed group, equation over group. 
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V. G. Durnev; O. V. Zetkina; A. I. Zetkina. An algebraically closed groups. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 49-51. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a5/

[1] Scott W. R., “Algebraically closed groups”, Proc. Amer. Math. Soc., 2 (1951), 118–121 | DOI | MR | Zbl

[2] Neumann B. H., “A note on algebraically closed groups”, J. London. Math. Soc., 27 (1952), 227–242 | MR

[3] Macintyre A., “On algebraically closed groups”, Ann. of Math., 96 (1972), 53–97 | DOI | MR | Zbl

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