Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. Géométries relatives;Journal of the European Mathematical Society;2015
2. Ample hierarchy;Fundamenta Mathematicae;2014
3. On variants of CM-triviality;Fundamenta Mathematicae;2012
4. CM-triviality and relational structures;Annals of Pure and Applied Logic;2003-08
5. Mekler's construction preserves CM-triviality;Annals of Pure and Applied Logic;2002-06