Internality and interpretable automorphism groups in simple theories

Annals of Pure and Applied Logic 129 (1-3):149-162 (2004)
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Abstract

The binding group theorem for stable theories is partially extended to the simple context. Some results concerning internality are proved. We also introduce a ‘small’ normal subgroup G0+ of the automorphism group and show that if p is Q-internal then it has a finite exponent and G/G0+ is interpretable

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10.1016/j.apal.2003.12.004

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Citations of this work

On analyzability in the forking topology for simple theories.Ziv Shami - 2006 - Annals of Pure and Applied Logic 142 (1):115-124.
On the Type-Definability of the Binding Group in Simple Theories.Bradd Hart & Ziv Shami - 2005 - Journal of Symbolic Logic 70 (2):379 - 388.

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References found in this work

Simple theories.Byunghan Kim & Anand Pillay - 1997 - Annals of Pure and Applied Logic 88 (2-3):149-164.
Unidimensional theories are superstable.Ehud Hrushovski - 1990 - Annals of Pure and Applied Logic 50 (2):117-137.
Definability in low simple theories.Ziv Shami - 2000 - Journal of Symbolic Logic 65 (4):1481-1490.
Simple unstable theories.Saharon Shelah - 1980 - Annals of Mathematical Logic 19 (3):177.

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