Mathematics – Logic
Scientific paper
2007-02-26
Mathematics
Logic
23 pages
Scientific paper
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.
Fuchs Gunter
Hamkins Joel David
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