Cm-triviality And Stable Groups

Journal of Symbolic Logic 63 (4):1473-1495 (1998)
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Abstract

We define a generalized version of CM-triviality, and show that in the presence of enough regular types, or solubility, a stable CM-trivial group is nilpotent-by-finite. A torsion-free small CM-trivial stable group is abelian and connected. The first result makes use of a generalized version of the analysis of bad groups.

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