Geodesic
Plotkin's geometric equivalence, Mal'cev's closure and incompressible nilpotent groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 147-161

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In 1997 B. I. Plotkin introduced the notion of geometric equivalence of algebraic structures and posed the question: Is it true that every nilpotent torsion-free group is geometrically equivalent to its Mal'cev's closure? A negative answer was given by V. V. Bludov and B. V. Gusev in 2007 in the form of three counterexamples. In this paper we present an infinite series of counterexamples of unbounded Hirsch rank and nilpotency degree. 
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     author = {G. A. Noskov},
     title = {Plotkin's geometric equivalence, {Mal'cev's} closure and incompressible nilpotent groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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G. A. Noskov. Plotkin's geometric equivalence, Mal'cev's closure and incompressible nilpotent groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 33, Tome 470 (2018), pp. 147-161. http://geodesic.mathdoc.fr/item/ZNSL_2018_470_a9/