# Sh:452

• Melles, G., & Shelah, S. (1994). \mathrm{Aut}(M) has a large dense free subgroup for saturated M. Bull. London Math. Soc., 26(4), 339–344.
• Abstract:
We prove that for a stable theory T, if M is a saturated model of T of cardinality \lambda where \lambda>|T|, then Aut(M) has a dense free subgroup on 2^{\lambda} generators. This affirms a conjecture of Hodges.
• published version (6p)
Bib entry
@article{Sh:452,
author = {Melles, Garvin and Shelah, Saharon},
title = {{$\mathrm{Aut}(M)$ has a large dense free subgroup for saturated $M$}},
journal = {Bull. London Math. Soc.},
fjournal = {The Bulletin of the London Mathematical Society},
volume = {26},
number = {4},
year = {1994},
pages = {339--344},
issn = {0024-6093},
mrnumber = {1302066},
mrclass = {03C45 (03C50 06F20 20B27)},
doi = {10.1112/blms/26.4.339},
note = {\href{https://arxiv.org/abs/math/9304201}{arXiv: math/9304201}},
arxiv_number = {math/9304201}
}