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| T | + ‐resplendent models and the Lascar group
Author(s) -
Casanovas Enrique,
Peláez Rodrigo
Publication year - 2005
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200510012
Subject(s) - homogeneous , quotient , automorphism , mathematics , group (periodic table) , combinatorics , physics , quantum mechanics
In this paper we show that in every | T | + ‐resplendent model N , for every A ⊆ N such that | A | ≤ | T |, the group Autf( N/A ) of strong automorphisms is the least very normal subgroup of the group Aut( N/A ) and the quotient Aut( N/A )/Autf( N/A ) is the Lascar group over A . Then we generalize this result to every | T | + ‐saturated and strongly | T | + ‐homogeneous model. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)