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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References found in this work BETA
Ehud Hrushovski (1993). A New Strongly Minimal Set. Annals of Pure and Applied Logic 62 (2):147-166.
Gregory Cherlin (1979). Groups of Small Morley Rank. Annals of Mathematical Logic 17 (1-2):1-28.

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Citations of this work BETA
Andreas Baudisch (2002). Mekler's Construction Preserves CM-Triviality. Annals of Pure and Applied Logic 115 (1-3):115-173.

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