Journal of Symbolic Logic

The Geometry of Forking and Groups of Finite Morley Rank

Anand Pillay

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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


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