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arXiv:math/0602482 [math.LO]AbstractReferencesReviewsResources

Degrees of rigidity for Souslin trees

Joel David Hamkins, Gunter Fuchs

Published 2006-02-22Version 1

We investigate various strong notions of rigidity for Souslin trees, separating them under Diamond into a hierarchy. Applying our methods to the automorphism tower problem in group theory, we show under Diamond that there is a group whose automorphism tower is highly malleable by forcing.

Comments: 33 pages
Categories: math.LO
Subjects: 03E05
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