Submission date: 9 October 2017

Abstract:

Arch. Math. Logic (2017)
We prove a version of a small index property theorem for strong amalgamation classes. Our result builds on an earlier theorem by Lascar and Shelah (in their case, for saturated models of uncountable first-order theories). We then study versions of the small index property for various non-elementary classes. In particular, we obtain the small index property for quasiminimal pregeometry structures.

Mathematics Subject Classification: 03C48, 22F50

Keywords and phrases:

Full text arXiv 1710.02920: pdf, ps.