ON THE NUMBER OF AUTOMORPHISMS OF UNCOUNTABLE MODELS

Authors
SHELAH S TUURI H VAANANEN J
Citation
S. Shelah et al., ON THE NUMBER OF AUTOMORPHISMS OF UNCOUNTABLE MODELS, The Journal of symbolic logic, 58(4), 1993, pp. 1402-1418
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
The Journal of symbolic logic → ACNP
ISSN journal
00224812
Volume
58
Issue
4
Year of publication
1993
Pages
1402 - 1418
Database
ISI
SICI code
0022-4812(1993)58:4<1402:OTNOAO>2.0.ZU;2-A
Abstract
Let sigma(21) denote the number of automorphisms of a model 21 of powe r omega(1). We derive a necessary and sufficient condition in terms of trees for the existence of an 21 with omega(1) < sigma(21) < 2(omega 1). We study the sufficiency of some conditions for sigma(21)= 2(omega 1). These conditions are analogous to conditions studied by D. Kueker in connection with countable models.