## Journal of Symbolic Logic

### The Geometry of Forking and Groups of Finite Morley Rank

Anand Pillay

#### 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

https://projecteuclid.org/euclid.jsl/1183744875

Mathematical Reviews number (MathSciNet)
MR1367208

Zentralblatt MATH identifier
0845.03016

JSTOR

#### 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