Abstract
We give a criterion involving existence of many generic sequences of automorphisms for a countable structure to have the small index property. We use it to show that (i) any ω-stable ω-categorical structure, and (ii) the random graph have the small index property. We also show that the automorphism group of such a structure is not the union of a countable chain of proper subgroups.
Original language | English |
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Pages (from-to) | 204-218 |
Number of pages | 15 |
Journal | Journal of the London Mathematical Society |
Volume | s2-48 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1993 |