caa a22 4500 388038799 CHVBK 20180307125015.0 cr unu---uuuuu 161130e199812 xx s 000 0 eng 10.2307/2586662 doi S0022481200014377 pii (NATIONALLICENCE)cambridge-10.2307/2586662 Wagner Frank O. Mathematical Institute, 24-29 St Giles' Oxford OX1 3LB, England. E-mail: wagner@maths.ox.ac.uk CM-triviality and stable groups [Elektronische Daten] [Frank O. Wagner] 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. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/4(1998-12), 1473-1495 0022-4812 63:4<1473 1998 63 JSL https://doi.org/10.2307/2586662 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586662 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wagner Frank O. Mathematical Institute, 24-29 St Giles' Oxford OX1 3LB, England. E-mail: wagner@maths.ox.ac.uk NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/4(1998-12), 1473-1495 0022-4812 63:4<1473 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge