# 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. - published version (15p)

Bib entry

@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}, doi = {10.1112/plms/s3-69.3.449}, mrclass = {03C50 (03C45)}, mrnumber = {1289859}, mrreviewer = {G. Cherlin}, doi = {10.1112/plms/s3-69.3.449}, note = {\href{https://arxiv.org/abs/math/9308216}{arXiv: math/9308216}}, arxiv_number = {math/9308216} }