Groups elementarily equivalent to a free nilpotent group of finite rank

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Annals of Pure and Applied Logic 162 (11):916-933 (2011)
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Abstract

In this paper, we give a complete algebraic description of groups elementarily equivalent to the P. Hall completion of a given free nilpotent group of finite rank over an arbitrary binomial domain. In particular, we characterize all groups elementarily equivalent to a free nilpotent group of finite rank

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10.1016/j.apal.2011.04.003

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References found in this work

The model theory of unitriangular groups.Oleg V. Belegradek - 1994 - Annals of Pure and Applied Logic 68 (3):225-261.
The elementary theory of abelian groups.Paul C. Eklof - 1972 - Annals of Mathematical Logic 4 (2):115.
MM. Borel, Tits, Zil′ber et le Général Nonsense.Bruno Poizat - 1988 - Journal of Symbolic Logic 53 (1):124-131.
Elementary Properties of Abelian Groups.W. Szmielew - 1959 - Journal of Symbolic Logic 24 (1):59-59.

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