We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, ...

We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, ...

We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, ...

We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, ...

We show that "classical" properties of definable and hyperdefinable groups in simple theories can be generalised to this context. In particular, we prove ...

Aug 29, 2005 · We obtain the canonical hyperdefinable group from the group configuration. This provides a generalization to simple theories of the group configuration theorem.

We first find the right analogue of definability of types. We then develop the theory of generic types and stabilizers for groups definable in simple theories.

We show that "classical" properties of definable and hyperdefinable groups in simple theories can be generalised to this context. ... Hyperdefinable groups in ...

Abstract. (i) We lay down the groundwork for the treatment of almost hyperde- finable groups: notions from [BTW04] are put into a natural hierarchy, and new.

We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, ...