Geodesic
Universal theory of a~free polynilpotent group
Izvestiya. Mathematics , Tome 80 (2016) no. 3, pp. 623-632

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We prove that a free group of rank $\geqslant2$ in an arbitrary polynilpotent variety $\mathfrak N_{c_1}\mathfrak N_{c_2}\dots\mathfrak N_{c_s}$, $s\geqslant2$, $c_i\geqslant1$, $c_s\geqslant2$, has undecidable universal theory.
Keywords: universal theory, variety of groups, nilpotent group, polynilpotent group.
Mots-clés : soluble group 
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     author = {E. I. Timoshenko},
     title = {Universal theory of a~free polynilpotent group},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_3_a8/}
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E. I. Timoshenko. Universal theory of a~free polynilpotent group. Izvestiya. Mathematics , Tome 80 (2016) no. 3, pp. 623-632. http://geodesic.mathdoc.fr/item/IM2_2016_80_3_a8/