| T|+‐resplendent models and the Lascar group

Mathematical Logic Quarterly 51 (6):626-631 (2005)
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Abstract

In this paper we show that in every |T |+-resplendent model N , for every A ⊆ N such that |A | ≤ |T |, the group Autf of strong automorphisms is the least very normal subgroup of the group Aut and the quotient Aut/Autf is the Lascar group over A . Then we generalize this result to every |T |+-saturated and strongly |T |+-homogeneous model

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Citations of this work

Classifying Spaces and the Lascar Group.Tim Campion, Greg Cousins & Jinhe Ye - 2021 - Journal of Symbolic Logic 86 (4):1396-1431.

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References found in this work

Galois Groups of First Order Theories.E. Casanovas, D. Lascar, A. Pillay & M. Ziegler - 2001 - Journal of Mathematical Logic 1 (02):305-319.
On the Category of Models of a Complete Theory.Daniel Lascar - 1982 - Journal of Symbolic Logic 47 (2):249-266.
Hyperimaginaries and Automorphism Groups.D. Lascar & A. Pillay - 2001 - Journal of Symbolic Logic 66 (1):127-143.
Compactly Expandable Models and Stability.Enrique Casanovas - 1995 - Journal of Symbolic Logic 60 (2):673-683.

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