Journal of Symbolic Logic 60 (4):1251-1259 (1995)

Abstract
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

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

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Citations of this work BETA

Ample Thoughts.Daniel Palacín & Frank O. Wagner - 2013 - Journal of Symbolic Logic 78 (2):489-510.
Ample Dividing.David M. Evans - 2003 - Journal of Symbolic Logic 68 (4):1385-1402.
Forking Geometry on Theories with an Independent Predicate.Juan Felipe Carmona - 2015 - Archive for Mathematical Logic 54 (1-2):247-255.
Mekler's Construction Preserves CM-Triviality.Andreas Baudisch - 2002 - Annals of Pure and Applied Logic 115 (1-3):115-173.

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