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Aut ( M ) Has a Large Dense Free Subgroup for Saturated M
Author(s) -
Melles Garvin,
Shelah Saharon
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.4.339
Subject(s) - mathematics , cardinality (data modeling) , conjecture , combinatorics , data mining , computer science
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.
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