A construction of superstable NDOP-NOTOP groups

Journal of Symbolic Logic 56 (4):1385-1390 (1991)
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Abstract

The paper continues [1]. Let S be a complete theory of ultraflat (e.g. planar) graphs as introduced in [4]. We show a strong form of NOTOP for S: The union of two models M1 and M2, independent over a common elementary submodel M0, is the primary model over M1 ∪ M2 of S. Then by results of [1] Mekler's construction [6] gives for such a theory S of nice ultraflat graphs a superstable 2-step-nilpotent group of exponent $p (>2)$ with NDOP and NOTOP

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10.2307/2275482

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Citations of this work

Mekler's construction preserves CM-triviality.Andreas Baudisch - 2002 - Annals of Pure and Applied Logic 115 (1-3):115-173.

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References found in this work

Classification Theory and the Number of Nonisomorphic Models.S. Shelah - 1982 - Journal of Symbolic Logic 47 (3):694-696.
Dimensional order property and pairs of models.Elisabeth Bouscaren - 1989 - Annals of Pure and Applied Logic 41 (3):205-231.
Stability in Model Theory.Daniel Lascar & J. E. Wallington - 1990 - Journal of Symbolic Logic 55 (2):881-883.

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