On the binding group in simple theories

Journal of Symbolic Logic 67 (3):1016-1024 (2002)
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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

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