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

dc.creatorMelles, Garvin
dc.creatorShelah, Saharon
dc.date1993-04-12
dc.date.accessioned2026-07-07T09:14:53Z
dc.date.available2026-07-07T09:14:53Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/9304201
dc.identifierhttp://arxiv.org/abs/math/9304201
dc.identifierBull. London Math. Soc. 26 No. 4 (1994) 339--344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152837
dc.subjectLogic
dc.titleThe automorphism group of a saturated model has a large dense free subgroup
dc.typetext

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