Recovering the hyperdefinable group action in the group configuration theorem
Journal of Symbolic Logic 75 (1):12-24 (2010)
Abstract
In this paper, we continue the construction done in [3], so that under model-4-CA or 4-CA, given a bounded quadrangle C induced from a group configuration, we build a canonical hyperdefinable homogeneous space equivalent to C. When C is principal, we can choose the homogeneous space principal as wellReprint years
2012
DOI
10.2178/jsl/1264433907
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References found in this work
Constructing the hyperdefinable group from the group configuration.Tristram de Piro, Byunghan Kim & Jessica Millar - 2006 - Journal of Mathematical Logic 6 (2):121-139.
From stability to simplicity.Byunghan Kim & Anand Pillay - 1998 - Bulletin of Symbolic Logic 4 (1):17-36.
Applications of the group configuration theorem in simple theories.Ivan Tomašić & Frank O. Wagner - 2003 - Journal of Mathematical Logic 3 (02):239-255.