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A construction of superstable ndop-notop groups

Published online by Cambridge University Press:  12 March 2014

Andreas Baudisch
Andreas Baudisch*
Affiliation:
Institut für Mathematik, Akademie der Wissenschaften der DDR, O-1086 Berlin, Germany
*
Karl-Weierstraß-Institut für Mathematik, Mohrenstraße 39, O-1086 Berlin, Germany
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 4 , December 1991 , pp. 1385 - 1390
Copyright
Copyright © Association for Symbolic Logic 1991

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References

REFERENCES

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