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Aut (M) Has a Large Dense Free Subgroup for Saturated M

Aut (M) Has a Large Dense Free Subgroup for Saturated M 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Aut (M) Has a Large Dense Free Subgroup for Saturated M

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References (5)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/26.4.339
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Jul 1, 1994

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