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. arXiv: math/9304201 DOI: 10.1112/blms/26.4.339 MR: 1302066
• 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.
• Version 1993-08-26_10 (10p) published version (6p)

@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}
}