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On the binding group in simple theories

Published online by Cambridge University Press:  12 March 2014

Ziv Shami  and
Frank O. Wagner
Ziv Shami
Affiliation:
Department of Mathematics and Statistics, McMaster University, 1280 Main Street West Hamilton, Ontario L8S 4K1, Canada, E-mail: zshami@flelds.utoronto.ca
Frank O. Wagner
Affiliation:
Institut Girard Desargues, Université Lyon 1, 21 Avenue Claude Bernard, 69622 Villeurbanne-Cedex, France, E-mail: wagner@desargues.univ-lyonl.fr
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Abstract

We show that if p is a real type which is almost internal in a formula φ in a simple theory, then there is a type p′ interalgebraic with a finite tuple of realizations of p, which is generated over φ. Moreover, the group of elementary permutations of p′ over all realizations of φ is type-definable.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 3 , September 2002 , pp. 1016 - 1024
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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