Géométries relatives
Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 229-258.

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In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.
DOI : 10.4171/jems/502
Classification : 03-XX, 00-XX
Keywords: Model Theory, amalgamation methods, CM-triviality, geometry, group, definability
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     title = {G\'eom\'etries relatives},
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Thomas Blossier; Amador Martin-Pizarro; Frank Olaf Wagner. Géométries relatives. Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 229-258. doi : 10.4171/jems/502. http://geodesic.mathdoc.fr/articles/10.4171/jems/502/

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