Universal theories for partially commutative metabelian groups
Algebra i logika, Tome 50 (2011) no. 1, pp. 3-25

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We look at properties of partially commutative metabelian groups and of their universal theories. In particular, it is shown that two partially commutative metabelian groups defined by cycles are universally equivalent if and only if the cycles are isomorphic.
Keywords: partially commutative metabelian group, universal theory.
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     author = {Ch. K. Gupta and E. I. Timoshenko},
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Ch. K. Gupta; E. I. Timoshenko. Universal theories for partially commutative metabelian groups. Algebra i logika, Tome 50 (2011) no. 1, pp. 3-25. http://geodesic.mathdoc.fr/item/AL_2011_50_1_a0/