The geometry of forking and groups of finite Morley rank

Journal of Symbolic Logic 60 (4):1251-1259 (1995)
The notion of CM-triviality was introduced by Hrushovski, who showed that his new strongly minimal sets have this property. Recently Baudisch has shown that his new ω 1 -categorical group has this property. Here we show that any group of finite Morley rank definable in a CM-trivial theory is nilpotent-by-finite, or equivalently no simple group of finite Morley rank can be definable in a CM-trivial theory.
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DOI 10.2307/2275886
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Andreas Baudisch (2002). Mekler's Construction Preserves CM-Triviality. Annals of Pure and Applied Logic 115 (1-3):115-173.

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