The automorphism group of a saturated model has a large dense free subgroup

Details The automorphism group of a saturated model has a large dense free subgroup The automorphism group of a saturated model has a large dense free subgroup

1993-04-12

arxiv.org/abs/math/9304201v1

Mathematics

Logic

Scientific paper

We prove that for a stable theory $T,$ if $M$ is a saturated model of $T$ of
cardinality $\lambda$ where $\lambda > \big|T\big|,$ then $Aut(M)$ has a dense
free subgroup on $2^{\lambda}$ generators. This affirms a conjecture of Hodges.

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