A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property

Details A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property A saturated model of an unsuperstable theory of cardinality greater than its theory has the small index property

1993-08-15

arxiv.org/abs/math/9308216v1

Proc. London Math. Soc. 69 (1994), 449--463

Mathematics

Logic

Scientific paper

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] <= 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.

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