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June 2008 Changing the heights of automorphism towers by forcing with Souslin trees over L
Gunter Fuchs, Joel David Hamkins
J. Symbolic Logic 73(2): 614-633 (June 2008). DOI: 10.2178/jsl/1208359063

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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Gunter Fuchs. Joel David Hamkins. "Changing the heights of automorphism towers by forcing with Souslin trees over L." J. Symbolic Logic 73 (2) 614 - 633, June 2008. https://doi.org/10.2178/jsl/1208359063

Information

Published: June 2008
First available in Project Euclid: 16 April 2008

zbMATH: 1153.03026
MathSciNet: MR2414468
Digital Object Identifier: 10.2178/jsl/1208359063

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 2 • June 2008
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