|T |+-resplendent models and the Lascar group

摘要

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.