On the number of automorphism of uncontable models

Details On the number of automorphism of uncontable models On the number of automorphism of uncontable models

1993-01-15

arxiv.org/abs/math/9301205v1

J. Symbolic Logic 58 (1993), 1402--1418

Mathematics

Logic

Scientific paper

Let s(A) denote the number of automorphisms of a model A of power omega_1.
We derive a necessary and sufficient condition in terms of trees for the
existence of an A with omega_1 < s(A) < 2^{omega_1}. We study the sufficiency
of some conditions for s(A)=2^{omega_1}. These conditions are analogous to
conditions studied by D.Kueker in connection with countable models.

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