Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 60, Issue 4 (1995), 1251-1259.
The Geometry of Forking and Groups of Finite Morley Rank
Abstract
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.
Article information
Source
J. Symbolic Logic, Volume 60, Issue 4 (1995), 1251-1259.
Dates
First available in Project Euclid: 6 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183744875
Mathematical Reviews number (MathSciNet)
MR1367208
Zentralblatt MATH identifier
0845.03016
JSTOR
links.jstor.org
Citation
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
