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arXiv · 1710.02920

The small index property for homogeneous models in AECs

Zaniar Ghadernezhad·Andrés Villaveces
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Abstract

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.

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Zaniar Ghadernezhad, Andrés Villaveces. 2017-10-09. The small index property for homogeneous models in AECs. https://doi.org/10.1007/s00153-017-0587-y

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