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CM-triviality and stable groups

Published online by Cambridge University Press:  12 March 2014

Frank O. Wagner
Frank O. Wagner*
Affiliation:
Mathematical Institute, 24-29 St Giles' Oxford OX1 3LB, England. E-mail:wagner@maths.ox.ac.uk
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 63 , Issue 4 , December 1998 , pp. 1473 - 1495
Copyright
Copyright © Association for Symbolic Logic 1998

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