Applications of the group configuration theorem in simple theories

Journal of Mathematical Logic 3 (02):239-255 (2003)

Abstract
We reconstruct the group action in the group configuration theorem. We apply it to show that in an ω-categorical theory a finitely based pseudolinear regular type is locally modular, and the geometry associated to a finitely based locally modular regular type is projective geometry over a finite field.
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DOI 10.1142/S0219061303000261
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References found in this work BETA

Hyperdefinable Groups in Simple Theories.Frank Wagner - 2001 - Journal of Mathematical Logic 1 (01):125-172.
Supersimple Ω-Categorical Groups and Theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
Simple Theories.Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (4):522-524.

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Citations of this work BETA

Constructing an Almost Hyperdefinable Group.Itay Ben-Yaacov, Ivan Tomašić & Frank O. Wagner - 2004 - Journal of Mathematical Logic 4 (02):181-212.
On Pseudolinearity and Generic Pairs.Evgueni Vassiliev - 2010 - Mathematical Logic Quarterly 56 (1):35-41.
On Almost Orthogonality in Simple Theories.Itay Ben-Yaacov & Frank O. Wagner - 2004 - Journal of Symbolic Logic 69 (2):398-408.

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