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.
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Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner, Géométries relatives. J. Eur. Math. Soc. 17 (2015), no. 2, pp. 229–258DOI 10.4171/JEMS/502