# 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. - 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}, doi = {10.1112/blms/26.4.339}, mrclass = {03C45 (03C50 06F20 20B27)}, mrnumber = {1302066}, mrreviewer = {O. V. Belegradek}, doi = {10.1112/blms/26.4.339}, note = {\href{https://arxiv.org/abs/math/9304201}{arXiv: math/9304201}}, arxiv_number = {math/9304201} }