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On the number of automorphisms of uncountable models
Published online by Cambridge University Press: 12 March 2014
Abstract
Let σ() denote the number of automorphisms of a model
of power ω1. We derive a necessary and sufficient condition in terms of trees for the existence of an
with
. We study the sufficiency of some conditions for
. These conditions are analogous to conditions studied by D. Kueker in connection with countable models.
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- Research Article
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- Copyright © Association for Symbolic Logic 1993
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