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Changing the heights of automorphism towers by forcing with Souslin trees over L

  • Gunter Fuchs (a1) and Joel David Hamkins (a2)

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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[8]Thomas, Simon, The Automorphism Tower Problem, to appear.
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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