基数大于其理论的非超稳理论的饱和模型具有小指数性质
A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property
摘要：
基数为λ的模型M被称为具有小指数性质，如果对于每个G子集Aut（M）使得[Aut（M）：G] <= λ，存在A子集M使得|A| <λ使得Aut_A（M）子集G。证明了若M^* 是基数> Th（M）的非超稳理论的饱和模型，则M^* 具有小指数性质.
英文摘要：
A model M of cardinality lambda is said to have the small index property if for every G subseteq Aut(M) such that [Aut(M):G] <= lambda there is an A subseteq M with |A|< lambda such that Aut_A(M) subseteq G. We show that if M^* is a saturated model of an unsuperstable theory of cardinality > Th(M), then M^* has the small index property.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
