The Geometry of Forking and Groups of Finite Morley Rank
Pillay, Anand
J. Symbolic Logic, Tome 60 (1995) no. 1, p. 1251-1259 / Harvested from Project Euclid
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The notion of CM-triviality was introduced by Hrushovski, who showed that his new strongly minimal sets have this property. Recently Baudisch has shown that his new $\omega_1$-categorical group has this property. Here we show that any group of finite Morley rank definable in a CM-trivial theory is nilpotent-by-finite, or equivalently no simple group of finite Morley rank can be definable in a CM-trivial theory.
Publié le : 1995-12-14
Classification:  
@article{1183744875,
     author = {Pillay, Anand},
     title = {The Geometry of Forking and Groups of Finite Morley Rank},
     journal = {J. Symbolic Logic},
     volume = {60},
     number = {1},
     year = {1995},
     pages = { 1251-1259},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744875}
}

Pillay, Anand. The Geometry of Forking and Groups of Finite Morley Rank. J. Symbolic Logic, Tome 60 (1995) no. 1, pp.  1251-1259. http://gdmltest.u-ga.fr/item/1183744875/