Abstract
AbstractWe define an ℜ-group to be a stable group with the property that a generic element (for any definable transitive group action) can only be algebraic over a generic. We then derive some corollaries for ℜ-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are ℜ-groups.
Publisher
Cambridge University Press (CUP)
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