Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 60, Issue 4 (1995), 1251-1259.
The Geometry of Forking and Groups of Finite Morley Rank
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.
J. Symbolic Logic, Volume 60, Issue 4 (1995), 1251-1259.
First available in Project Euclid: 6 July 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Pillay, Anand. The Geometry of Forking and Groups of Finite Morley Rank. J. Symbolic Logic 60 (1995), no. 4, 1251--1259. https://projecteuclid.org/euclid.jsl/1183744875