### $Aut(M)$ 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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