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A Saturated Model of an Unsuperstable Theory of Cardinality greater than its theory has the Small Index Property

 

作者: Garvin Melles,   Saharon Shelah,  

 

期刊: Proceedings of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume s3-69, issue 3  

页码: 449-463

 

ISSN:0024-6115

 

年代: 2016

 

DOI:10.1112/plms/s3-69.3.449

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

A modelMof cardinality λ is said to have the small index property if for everyG⊆ Aut(M) such that [Aut(M) :G] ⩽ λ there is anA⊆Mwith |A|<λ such that AutA(M) ⊆G. We show that ifM*is a saturated model of an unsuperstable theory of cardinality greater thanTh(M), thenM*has the small index property.

 

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