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On stable torsion-free nilpotent groups
Archive for Mathematical Logic 32 (6):451-462 (1993)
Abstract
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 equivalenceMy notes
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Citations of this work
CM-Triviality and stable groups.Frank O. Wagner - 1998 - Journal of Symbolic Logic 63 (4):1473-1495.
Fields interpretable in superrosy groups with NIP (the non-solvable case).Krzysztof Krupiński - 2010 - Journal of Symbolic Logic 75 (1):372-386.
References found in this work
Preservation of saturation and stability in a variety of nilpotent groups.Pat Rogers - 1981 - Journal of Symbolic Logic 46 (3):499-512.
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