A Note on Subgroups of the Automorphism Group of a Saturated Model, and Regular Types

Pillay, A.

Pillay, A.

J. Symbolic Logic, Tome 54 (1989) no. 1, p. 858-864 / Harvested from Project Euclid

Résumé

Let $M$ be a saturated model of a superstable theory and let $G = \operatorname{Aut}(M)$. We study subgroups $H$ of $G$ which contain $G_{(A)}, A$ the algebraic closure of a finite set, generalizing results of Lascar [L] as well as giving an alternative characterization of the simple superstable theories of [P]. We also make some observations about good, locally modular regular types $p$ in the context of $p$-simple types.

Publié le : 1989-09-14
Classification:

@article{1183743022,
     author = {Pillay, A.},
     title = {A Note on Subgroups of the Automorphism Group of a Saturated Model, and Regular Types},
     journal = {J. Symbolic Logic},
     volume = {54},
     number = {1},
     year = {1989},
     pages = { 858-864},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183743022}
}

Pillay, A. A Note on Subgroups of the Automorphism Group of a Saturated Model, and Regular Types. J. Symbolic Logic, Tome 54 (1989) no. 1, pp.  858-864. http://gdmltest.u-ga.fr/item/1183743022/