Uncountable Saturated Structures have the Small Index Property
Uncountable Saturated Structures have the Small Index Property
Lascar, Daniel; Shelah, Saharon
1993-03-01 00:00:00
We prove the following theorem. Let m be an uncountable saturated structure of cardinality λ = λ<λ and assume that G is a subgroup of Aut (m) whose index is less than or equal to λ. Then there exists a subset A of cardinality strictly less than λ such that every automorphism of m leaving A pointwise fixed is in G.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngBulletin of the London Mathematical SocietyWileyhttp://www.deepdyve.com/lp/wiley/uncountable-saturated-structures-have-the-small-index-property-0CZuXyxdKm
Uncountable Saturated Structures have the Small Index Property
We prove the following theorem. Let m be an uncountable saturated structure of cardinality λ = λ<λ and assume that G is a subgroup of Aut (m) whose index is less than or equal to λ. Then there exists a subset A of cardinality strictly less than λ such that every automorphism of m leaving A pointwise fixed is in G.
Journal
Bulletin of the London Mathematical Society
– Wiley
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