Sh:450

• Melles, G., & Shelah, S. (1994). A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property. Proc. London Math. Soc. (3), 69(3), 449–463. arXiv: math/9308216 DOI: 10.1112/plms/s3-69.3.449 MR: 1289859
• Abstract:
  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]\leq\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.
• Version 1993-08-26_10 (26p) published version (15p)

@article{Sh:450,
 author = {Melles, Garvin and Shelah, Saharon},
 title = {{A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property}},
 journal = {Proc. London Math. Soc. (3)},
 fjournal = {Proceedings of the London Mathematical Society. Third Series},
 volume = {69},
 number = {3},
 year = {1994},
 pages = {449--463},
 issn = {0024-6115},
 mrnumber = {1289859},
 mrclass = {03C50 (03C45)},
 doi = {10.1112/plms/s3-69.3.449},
 note = {\href{https://arxiv.org/abs/math/9308216}{arXiv: math/9308216}},
 arxiv_number = {math/9308216}
}