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A note on subgroups of the automorphism group of a saturated model, and regular types

Published online by Cambridge University Press:  12 March 2014

A. Pillay
A. Pillay*
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
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Abstract

Let M be a saturated model of a superstable theory and let G = 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 3 , September 1989 , pp. 858 - 864
Copyright
Copyright © Association for Symbolic Logic 1989

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References

REFERENCES

[B-L]Berline, Chantal and Lascar, Daniel, Superstable groups, Annals of Pure and Applied Logic, vol. 30 (1986), pp. 1–43.CrossRefGoogle Scholar
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[P]Pillay, Anand, Simple superstable theories, Classification theory (proceedings of the U.S.-Israel workshop, Chicago, Illinois, 1985), Lecture Notes in Mathematics, vol. 1292, Springer-Verlag, Berlin, 1988, pp. 247–263.Google Scholar
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