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 model
Keywords Automorphism groups  resplendent models  Lascar group
Categories (categorize this paper)
DOI 10.1002/malq.200510012
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 72,541
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

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.

Add more references

Citations of this work BETA

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

Add more citations

Similar books and articles

The Lascar Group and the Strong Types of Hyperimaginaries.Byunghan Kim - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):497-507.
The Spectrum of Resplendency.John T. Baldwin - 1990 - Journal of Symbolic Logic 55 (2):626-636.
Transplendent Models: Expansions Omitting a Type.Fredrik Engström & Richard W. Kaye - 2012 - Notre Dame Journal of Formal Logic 53 (3):413-428.
Saturation of Homogeneous Resplendent Models.Julia F. Knight - 1986 - Journal of Symbolic Logic 51 (1):222-224.
Large Resplendent Models Generated by Indiscernibles.James H. Schmerl - 1989 - Journal of Symbolic Logic 54 (4):1382-1388.
On the Category of Models of a Complete Theory.Daniel Lascar - 1982 - Journal of Symbolic Logic 47 (2):249-266.
Models of Group Selection.Deborah G. Mayo & Norman L. Gilinsky - 1987 - Philosophy of Science 54 (4):515-538.
On Two Hierarchies of Dimensions.Andreas Baudisch - 1987 - Journal of Symbolic Logic 52 (4):959-968.

Analytics

Added to PP index
2013-10-31

Total views
12 ( #815,687 of 2,533,478 )

Recent downloads (6 months)
9 ( #81,860 of 2,533,478 )

How can I increase my downloads?

Downloads

My notes