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Preprint Number 462
462. Thomas Blossier, Amador Martin Pizarro, Frank O. Wagner
On variants of CM-triviality
Submission date: 1 June 2012.
We introduce a generalization of CM-triviality relative to a fixed invariant collection of partial types, in analogy to the Canonical Base Property defined by Pillay, Ziegler and Chatzidakis which generalizes one-basedness. We show that, under this condition, a stable field is internal to the family, and a group of finite Lascar rank has a normal nilpotent subgroup such that the quotient is almost internal to the family.
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