On Variants of CM-triviality

Thomas Blossier; Amador Martin-Pizarro; Frank Olaf Wagner

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arXiv · 1205.6916

On Variants of CM-triviality

Thomas Blossier·Amador Martin-Pizarro·Frank Olaf Wagner

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Abstract

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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BibTeX RIS

Thomas Blossier, Amador Martin-Pizarro, Frank Olaf Wagner. 2012-05-31. On Variants of CM-triviality. https://arxiv.org/abs/1205.6916

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