On variants of CM-triviality

Thomas Blossier, Amador Martin-Pizarro, and Frank O. Wagner. "On variants of CM-triviality." Fundamenta Mathematicae 219.3 (2012): 253-262. <http://eudml.org/doc/282908>.

@article{ThomasBlossier2012,
abstract = {We introduce a generalisation 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 generalises 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.},
author = {Thomas Blossier, Amador Martin-Pizarro, Frank O. Wagner},
journal = {Fundamenta Mathematicae},
keywords = {stability; one-basedness; CM-triviality; canonical base property; internality; 1-tightness; 2-tightness},
language = {eng},
number = {3},
pages = {253-262},
title = {On variants of CM-triviality},
url = {http://eudml.org/doc/282908},
volume = {219},
year = {2012},
}

TY - JOUR
AU - Thomas Blossier
AU - Amador Martin-Pizarro
AU - Frank O. Wagner
TI - On variants of CM-triviality
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 3
SP - 253
EP - 262
AB - We introduce a generalisation 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 generalises 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.
LA - eng
KW - stability; one-basedness; CM-triviality; canonical base property; internality; 1-tightness; 2-tightness
UR - http://eudml.org/doc/282908
ER -