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
Supersimple Ω-Categorical Groups and Theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
Hyperdefinable Groups in Simple Theories.Frank Wagner - 2001 - Journal of Mathematical Logic 1 (01):125-172.
The Group Configuration in Simple Theories and its Applications.Itay Ben-Yaacov, Ivan Tomašić & Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (2):283-298.
The Group Configuration In Simple Theories And Its Applications, By.Itay Ben-Yaacov, Ivan Toma{\V. S.}I.{\'C. & Frank Wagner - 2002 - Bulletin of Symbolic Logic 8 (2):283-298.
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.
Recovering the Hyperdefinable Group Action in the Group Configuration Theorem.Byunghan Kim - 2010 - Journal of Symbolic Logic 75 (1):12-24.
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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