# 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.
• 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.
• published version (18p)
Bib entry
@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}
}