Source: J. Symbolic Logic
Volume 69, Issue 2
We show that if p is a real type which is internal in a
set Σ of partial types in a simple theory, then there is a type
p’ interbounded with p, which is finitely
generated over Σ,
and possesses a fundamental system of solutions relative to Σ.
If p is a possibly hyperimaginary Lascar strong type,
almost Σ-internal, but almost orthogonal to Σω,
then there is a canonical non-trivial almost hyperdefinable polygroup
which multi-acts on p while fixing Σ generically.
In case p is Σ-internal and T is stable, this is
the binding group of p over Σ.
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