A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property

Garvin Melles; Saharon Shelah

doi:10.1112/plms/s3-69.3.449

A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property

Garvin Melles, Saharon Shelah

Einstein Institute of Mathematics

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Abstract

A model M of cardinality is said to have the small index property if for every G Aut(M) such that [Aut(M): G] <0 there is an A M with |A| < I such that Aut_A(M) G. We show that if M* is a saturated model of an unsuperstable theory of cardinality greater than Th(M), then M* has the small index property.

Original language	English
Pages (from-to)	449-463
Number of pages	15
Journal	Proceedings of the London Mathematical Society
Volume	s3-69
Issue number	3
DOIs	https://doi.org/10.1112/plms/s3-69.3.449
State	Published - Nov 1994

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A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property

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