Bulletin of Symbolic Logic 8 (2):283-298 (2002)

Abstract
In recent work, the authors have established the group configuration theorem for simple theories, as well as some of its main applications from geometric stability theory, such as the binding group theorem, or in the $\omega$-categorical case, the characterization of the forking geometry of a finitely based non-trivial locally modular regular type as projective geometry over a finite field and the equivalence of pseudolinearity and local modularity. The proof necessitated an extension of the model-theoretic framework to include almost hyperimaginaries, and the study of polygroups
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DOI 10.2178/bsl/1182353874
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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.
On the Fine Structure of the Polygroup Blow-Up.Itay Ben-Yaacov - 2003 - Archive for Mathematical Logic 42 (7):649-663.
Hyperdefinable Groups in Simple Theories.Frank Wagner - 2001 - Journal of Mathematical Logic 1 (01):125-172.
Definability and Definable Groups in Simple Theories.Anand Pillay - 1998 - Journal of Symbolic Logic 63 (3):788-796.
On the Binding Group in Simple Theories.Ziv Shami & Frank O. Wagner - 2002 - Journal of Symbolic Logic 67 (3):1016-1024.

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Citations of this work BETA

Compactness and Independence in Non First Order Frameworks.Itay Ben-Yaacov - 2005 - Bulletin of Symbolic Logic 11 (1):28-50.
Plus Ultra.Frank O. Wagner - 2015 - Journal of Mathematical Logic 15 (2):1550008.

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On the Binding Group in Simple Theories.Ziv Shami & Frank O. Wagner - 2002 - Journal of Symbolic Logic 67 (3):1016-1024.
On Almost Orthogonality in Simple Theories.Itay Ben-Yaacov & Frank O. Wagner - 2004 - Journal of Symbolic Logic 69 (2):398 - 408.
Supersimple Ω-Categorical Groups and Theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
The Geometry of Forking and Groups of Finite Morley Rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.
Group Configurations and Germs in Simple Theories.Itay Ben-Yaacov - 2002 - Journal of Symbolic Logic 67 (4):1581-1600.

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