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Forcing a Boolean Algebra with predesigned automorphism group

逻辑 2007-05-23 v1

摘要

For suitable groups G we will show that one can add a Boolean algebra B by forcing in such a way that Aut(B) is almost isomorphic to G. In particular, we will give a positive answer to the following question due to J.Roitman: Is aleph_{omega} a possible number of automorphisms of a rich Boolean algebra?

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引用

@article{arxiv.math/0102044,
  title  = {Forcing a Boolean Algebra with predesigned automorphism group},
  author = {Tapani Hyttinen and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0102044},
  year   = {2007}
}