On stable torsion-free nilpotent groups

Archive for Mathematical Logic 32 (6):451-462 (1993)

We show that an infinite field is interpretable in a stable torsion-free nilpotent groupG of classk, k>1. Furthermore we prove thatG/Z k-1 (G) must be divisible. By generalising methods of Belegradek we classify some stable torsion-free nilpotent groups modulo isomorphism and elementary equivalence
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DOI 10.1007/BF01270468
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