CM-Triviality and Stable Groups
Wagner, Frank O.
J. Symbolic Logic, Tome 63 (1998) no. 1, p. 1473-1495 / Harvested from Project Euclid
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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.
Publié le : 1998-12-14
Classification:  03C45,  20F99 
@article{1183745643,
     author = {Wagner, Frank O.},
     title = {CM-Triviality and Stable Groups},
     journal = {J. Symbolic Logic},
     volume = {63},
     number = {1},
     year = {1998},
     pages = { 1473-1495},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745643}
}

Wagner, Frank O. CM-Triviality and Stable Groups. J. Symbolic Logic, Tome 63 (1998) no. 1, pp.  1473-1495. http://gdmltest.u-ga.fr/item/1183745643/