$Aut(M)$ has a large dense free subgroup for saturated $M$

by Melles and Shelah. [MeSh:452]
Bulletin London Math Soc, 1994
We prove that for a stable theory T, if M is a saturated model of T of cardinality lambda where lambda >|T|, then Aut(M) has a dense free subgroup on 2^{lambda} generators. This affirms a conjecture of Hodges.


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