Aut(M) has a large dense free subgroup for saturated1

Garvin Melles; Saharon Shelah

doi:10.1112/blms/26.4.339

Aut(M) has a large dense free subgroup for saturated1

Garvin Melles, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

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

Original language	English
Pages (from-to)	339-344
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	26
Issue number	4
DOIs	https://doi.org/10.1112/blms/26.4.339
State	Published - Jul 1994

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title = "Aut(M) has a large dense free subgroup for saturated1",

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

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Aut(M) has a large dense free subgroup for saturated1

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