Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over L
Logic
2007-05-23 v1 Group Theory
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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Cite
@article{arxiv.math/0702768,
title = {Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over L},
author = {Gunter Fuchs and Joel David Hamkins},
journal= {arXiv preprint arXiv:math/0702768},
year = {2007}
}
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23 pages