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The geometry of forking and groups of finite Morley rank
Published online by Cambridge University Press: 12 March 2014
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 ω1-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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- Copyright © Association for Symbolic Logic 1995
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