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| T|+‐resplendent models and the Lascar group
Mathematical Logic Quarterly 51 (6):626-631 (2005)
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 modelMy notes
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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.
References found in this work
Hyperimaginaries and Automorphism Groups.D. Lascar & A. Pillay - 2001 - Journal of Symbolic Logic 66 (1):127-143.
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.
Compactly expandable models and stability.Enrique Casanovas - 1995 - Journal of Symbolic Logic 60 (2):673-683.
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