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

@article{Fuchs2008ChangingTH,
  title={Changing the heights of automorphism towers by forcing with Souslin trees over L},
  author={G. Fuchs and J. D. Hamkins},
  journal={Journal of Symbolic Logic},
  year={2008},
  volume={73},
  pages={614 - 633}
}
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. 
6 Citations
Degrees of rigidity for Souslin trees
  • 15
  • PDF
Iteratively Changing the Heights of Automorphism Towers
  • 2
  • PDF
Closed maximality principles: implications, separations and combinations
  • G. Fuchs
  • Computer Science, Mathematics
  • Journal of Symbolic Logic
  • 2008
  • 19
  • PDF

References

SHOWING 1-10 OF 11 REFERENCES
Degrees of rigidity for Souslin trees
  • 15
  • PDF
The automorphism tower problem II
  • 29
  • PDF
Changing the Heights of Automorphism Towers
  • 9
  • PDF
The Souslin problem
  • 116
How Tall is the Automorphism Tower of a Group
  • 6
  • PDF
The automorphism tower problem II, Israel
  • Journal of Mathematics 103,
  • 1998
The automorphism tower problem
  • Proceedings of the American Mathematical Society
  • 1985
Johnsbr̊aten, The Souslin Problem, Lecture Notes in Mathematics 405
  • 1974
Degrees of rigidity for Suslin trees
    ...
    1
    2
    ...