Sh:377

• Shelah, S., Tuuri, H., & Väänänen, J. A. (1993). On the number of automorphisms of uncountable models. J. Symbolic Logic, 58(4), 1402–1418. arXiv: math/9301205 DOI: 10.2307/2275150 MR: 1253929
• Abstract:
  Let s({\mathcal A}) denote the number of automorphisms of a model {\mathcal A} of power \omega_1. We derive a necessary and sufficient condition in terms of trees for the existence of an {\mathcal A} with \omega_1 < s({\mathcal A}) < 2^{\omega_1}. We study the sufficiency of some conditions for s({\mathcal A})=2^{\omega_1}. These conditions are analogous to conditions studied by D.Kueker in connection with countable models.
• Version 1995-11-25_10 (20p) published version (18p)

@article{Sh:377,
 author = {Shelah, Saharon and Tuuri, Heikki and V{\"a}{\"a}n{\"a}nen, Jouko A.},
 title = {{On the number of automorphisms of uncountable models}},
 journal = {J. Symbolic Logic},
 fjournal = {The Journal of Symbolic Logic},
 volume = {58},
 number = {4},
 year = {1993},
 pages = {1402--1418},
 issn = {0022-4812},
 mrnumber = {1253929},
 mrclass = {03C50},
 doi = {10.2307/2275150},
 note = {\href{https://arxiv.org/abs/math/9301205}{arXiv: math/9301205}},
 arxiv_number = {math/9301205}
}