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Changing the heights of automorphism towers by forcing with Souslin trees over L
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove that there are groups in the constructible universe whose automorphism towers are highly malleable by forcing. This is a consequence of the fact that, under a suitable diamond hypothesis, there are sufficiently many highly rigid non-isomorphic Souslin trees whose isomorphism relation can be precisely controlled by forcing.
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- Copyright © Association for Symbolic Logic 2008
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