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Uncountable Saturated Structures have the Small Index Property

 

作者: Daniel Lascar,   Saharon Shelah,  

 

期刊: Bulletin of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume 25, issue 2  

页码: 125-131

 

ISSN:0024-6093

 

年代: 2016

 

DOI:10.1112/blms/25.2.125

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

We prove the following theorem. Let m be an uncountable saturated structure of cardinality λ = λ<λand assume thatGis a subgroup of Aut (m) whose index is less than or equal to λ. Then there exists a subsetAof cardinality strictly less than λ such that every automorphism of m leavingApointwise fixed is inG.

 

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