Geodesic
Isomorphisms, definable relations, and Scott families of class~2 nilpotent groups
Algebra i logika, Tome 46 (2007) no. 4, pp. 514-524.

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The paper deals in questions on the complexity of isomorphisms and relations on universes of structures, on the number and properties of numberings in various hierarchies of sets, and on the existence of connections between semantic and syntactic properties of the structures and relations for the class of nilpotent groups of class two.
Keywords: nilpotent group of class two, numbering, hierarchy, Scott family. 
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D. A. Tusupov. Isomorphisms, definable relations, and Scott families of class~2 nilpotent groups. Algebra i logika, Tome 46 (2007) no. 4, pp. 514-524. http://geodesic.mathdoc.fr/item/AL_2007_46_4_a6/

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