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

Garvin Melles; Saharon Shelah

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arXiv · math/9304201

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

Garvin Melles·Saharon Shelah

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Abstract

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

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BibTeX RIS

Garvin Melles, Saharon Shelah. 1993-04-12. The automorphism group of a saturated model has a large dense free subgroup. https://arxiv.org/abs/math/9304201

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